Inequalities (Cambridge International IGCSE Mathematics): Exam Questions

$n$ is an integer.

$- 1 \text{less} - \text{than} or \text{slanted} \text{equal} to n < 4$

List the possible values of $n$.

$- 3 < n \text{less} - \text{than} or \text{slanted} \text{equal} to 1$

$n$ is an integer.

Write down all the possible values of $n$.

$- 5 < y \text{less} - \text{than} or \text{slanted} \text{equal} to 0$

$y$ is an integer.

Write down all the possible values of $y$.

$m$ is an integer such that $\text{long} \text{dash} 2 < m \text{less} - \text{than} or \text{slanted} \text{equal} to 3$

Write down all the possible values of $m$.

Write down the inequality shown on the number line.

120 students are asked about their favourite country to visit in Europe, out of France, Spain, Portugal, Italy, and Croatia.

Complete the bar chart above.

A student is selected at random.

Write down the probability that the student chooses Spain as their favourite.

Show the inequality $x<3$ on the number line below

$n$ is an integer. Write down all the values of $n$ such that$- 2 \text{less} - \text{than} or \text{slanted} \text{equal} to n < 3$

On the number line, represent the inequality $y \text{less} - \text{than} or \text{slanted} \text{equal} to 1$

Circle the inequality shown by the diagram.

On the number line, show the inequality $- 2 \text{less} - \text{than} or \text{slanted} \text{equal} to y < 1$

$n$ is an integer.

Write down all the values of $n$ that satisfy $- 3.4 < n \text{less} - \text{than} or \text{slanted} \text{equal} to 2$

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

$x\leq8$

$x>2$

$x>3$

Represent the inequality $x\leq3$ on the number line.

Write down the largest odd integer that satisfies the inequality $y\leq6.5$.

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.

$- 2 < n \text{less} - \text{than} or \text{slanted} \text{equal} to 3$

Represent this inequality on the number line.

$m^{2}>9$

Circle the possible value of $m$.

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

$x\leq7$

$2<x\leq8$

$4\leq x\leq8.5$