Inequalities · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Rational inequalities and transformations — objective 1

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 11}{x- 14}\). For the integer-count calculation restrict x to \(0\le x\le 16\).

Find the excluded x value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Rational inequalities and transformations — objective 1

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 12}{x- 15}\). For the integer-count calculation restrict x to \(0\le x\le 17\).

Find the excluded x value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Method

Rational inequalities and transformations — objective 2

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 12}{x- 15}\). For the integer-count calculation restrict x to \(0\le x\le 17\).

Find the zero of f.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Rational inequalities and transformations — objective 2

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 13}{x- 16}\). For the integer-count calculation restrict x to \(0\le x\le 18\).

Find the zero of f.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Apply

Rational inequalities and transformations — objective 3

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 13}{x- 16}\). For the integer-count calculation restrict x to \(0\le x\le 18\).

Find f(0).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Rational inequalities and transformations — objective 3

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 14}{x- 17}\). For the integer-count calculation restrict x to \(0\le x\le 19\).

Find f(0).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Check understanding

Rational inequalities and transformations — objective 4

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 14}{x- 17}\). For the integer-count calculation restrict x to \(0\le x\le 19\).

Count the allowed integers with f(x)>0.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Fresh review variant

Rational inequalities and transformations — objective 4

Maths4U Original · Short practice

Let \(\displaystyle f(x)= \frac{x- 15}{x- 18}\). For the integer-count calculation restrict x to \(0\le x\le 20\).

Count the allowed integers with f(x)>0.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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