Solving Inequalities (OCR GCSE Maths: Foundation): Exam Questions

Solve  $8x-13\ge 11$

Solve the inequality.

$-3<2x-1\le 7$

Write down all the integer values of $x$ that satisfy the inequality.

Solve  $\frac{7x}{3}<6$

$n$ is an integer.
Write down all the values of $n$ such that$–2⩽n<3$

On the number line, represent the inequality $y⩽1$

Circle the inequality shown by the diagram.

On the number line, show the inequality $–2⩽y<1$

$n$ is an integer.

Write down all the values of $n$ that satisfy $–3.4<n⩽2$

List all of the integers which satisfy all three of the following inequalities.

$x\le 8$

$x>2$

$x>3$

Write down the inequality shown in the diagram.

Solve        $y-2>5$

Here is an inequality, in $x$, shown on a number line.

Write down the inequality.

$-2<n⩽3$

Represent this inequality on the number line.

Solve  $15x\le 9x-3$

Solve  $14x>2\left(x+8\right)$

Solve  $5n-3<2n+12$

$m^2>9$

Circle the possible value of $m$.

List all of the integers which satisfy all three of the following inequalities.

$x\le 7$

$2<x\le 8$

$4\le x\le 8.5$