Maths4U Original · Short practice

Let x be real and satisfy \(-5\le x<2\). Integer restrictions apply only in the parts that ask for integers.

Find the least integer in the interval.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let x be real and satisfy \(-6\le x<3\). Integer restrictions apply only in the parts that ask for integers.

Find the least integer in the interval.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let x be real and satisfy \(-6\le x<3\). Integer restrictions apply only in the parts that ask for integers.

Find the greatest integer in the interval.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let x be real and satisfy \(-2\le x<4\). Integer restrictions apply only in the parts that ask for integers.

Find the greatest integer in the interval.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let x be real and satisfy \(-2\le x<4\). Integer restrictions apply only in the parts that ask for integers.

How many integers are in the interval?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let x be real and satisfy \(-3\le x<5\). Integer restrictions apply only in the parts that ask for integers.

How many integers are in the interval?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let x be real and satisfy \(-3\le x<5\). Integer restrictions apply only in the parts that ask for integers.

Find the midpoint between the two boundary numbers.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let x be real and satisfy \(-2\le x<2\). Integer restrictions apply only in the parts that ask for integers.

Find the midpoint between the two boundary numbers.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(-44\le 4 - 6 x<-2\) for real x.

Find the least integer satisfying the compound inequality.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(-5\le 5 - 2 x<1\) for real x.

Find the least integer satisfying the compound inequality.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(-5\le 5 - 2 x<1\) for real x.

Find the greatest integer satisfying it.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(3\le 6 - 3 x<15\) for real x.

Find the greatest integer satisfying it.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(3\le 6 - 3 x<15\) for real x.

How many integers satisfy it?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(-5\le 7 - 4 x<15\) for real x.

How many integers satisfy it?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(-5\le 7 - 4 x<15\) for real x.

Find the midpoint between the two real boundary numbers.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(-17\le 8 - 5 x<13\) for real x.

Find the midpoint between the two real boundary numbers.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 2,\quad y\ge 4,\quad x+y\le 12\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

Find the x-coordinate where the sloping boundary meets the horizontal boundary.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 3,\quad y\ge 2,\quad x+y\le 12\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

Find the x-coordinate where the sloping boundary meets the horizontal boundary.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 3,\quad y\ge 2,\quad x+y\le 12\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

Find the y-coordinate where the sloping boundary meets the vertical boundary.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 4,\quad y\ge 3,\quad x+y\le 15\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

Find the y-coordinate where the sloping boundary meets the vertical boundary.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 4,\quad y\ge 3,\quad x+y\le 15\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

Find the area of the bounded region, in square units.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 1,\quad y\ge 4,\quad x+y\le 14\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

Find the area of the bounded region, in square units.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 1,\quad y\ge 4,\quad x+y\le 14\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

The line \(\displaystyle y=x\) meets the sloping boundary inside the permitted region. Find that intersection x-coordinate.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The region R satisfies \(x\ge 3,\quad y\ge 3,\quad x+y\le 12\). All coordinates use the same length unit. Shade unwanted regions when drawing it.

The line \(\displaystyle y=x\) meets the sloping boundary inside the permitted region. Find that intersection x-coordinate.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.