Stage 9 - Q1 - 2 marks
Solve and show the solution set on a number line.
Hint
Use a filled endpoint only for an inclusive sign.
Stage 9 - Q2 - 2 marks
Solve and show the solution set on a number line.
Hint
Use a filled endpoint only for an inclusive sign.
Stage 9 - Q3 - 3 marks
Solve and show the solution set on a number line.
Hint
Use a filled endpoint only for an inclusive sign.
Stage 9 - Q4 - 3 marks
Solve and show the solution set on a number line.
Hint
Use a filled endpoint only for an inclusive sign.
Stage 9 - Q5 - 4 marks
Write an inequality for the shown solution set.
Hint
An open circle excludes the endpoint.
Stage 9 - Q6 - 4 marks
Write an inequality for the shown solution set.
Hint
An open circle excludes the endpoint.
Stage 9 - Q7 - 5 marks
Find the smallest integer in the solution set.
Hint
The boundary need not be an integer.
Stage 9 - Q8 - 5 marks
A rectangle has sides \(x\) cm and \((x+4)\) cm, with \(x\) positive. Its perimeter is at least 76 cm. Find the possible \(x\) values.
Hint
The perimeter uses each dimension twice.
Stage 9 - Q9 - 5 marks
Solve, then test one value below, at and above the boundary.
Hint
An inclusive inequality admits the boundary itself.
Stage 9 - Q10 - 3 marks
Find every integer \(n\) satisfying both inequalities.
Hint
The answer must satisfy both conditions at the same time.