Inequalities on number lines | Maths | Quizalize & Oak National Academy

Starter quiz

Match up the inequalities to the statements.

$x<-2$

⇔

values less than -2 ✓

$x\le-2$

⇔

values less than or equal to -2 ✓

$x>-2$

⇔

values greater than -2 ✓

$x\ge-2$

⇔

values greater than or equal to -2 ✓
Which of these values satisfy the inequality $x<3$ ?

$x=1$ ✓

$x=2$ ✓

$x=3$

$x=4$

$x=5$
Which of these values satisfy the inequality $x\ge2$ ?

$x=-3$

$x=2$ ✓

$x=1.47$

$x=2.06$ ✓

$x=\frac{5}{6}$
Which of these values satisfy the inequality $x>-1$ ?

$x=0$ ✓

$x=-1$

$x=-2$

$x=-\frac{4}{3}$

$x=-\frac{6}{7}$ ✓
Which of these values satisfy the inequality $1 ?$

1

3 ✓

5

1.3 ✓

3.0004
What is the value of $a$ on the number line?

'18' ✓

Match the diagram to the correct inequality.

A

⇔

$x\le1$ ✓

B

⇔

$x\ge1$ ✓

C

⇔

$x>1$ ✓

D

⇔

$x<1$ ✓
What inequality is represented in this diagram?

$-1$

$-1\le x \le 1$

$-1 ✓$

$-1\le x<1$
What inequality is represented in this diagram?

$1$

$1\le x<2$

$1 or x>2$

$x\le 1$ or $x>2$ ✓

$x\le 1$ or $x\le 2$
Which diagram shows all values which satisfy both $x<1$ and $x>0$ ?
Which inequality represents all values which satisfy both of the drawn inequalities?

$1$

$x<1$ or $x>2$

$x<1$ ✓

$x<2$
Which inequality represents all values which satisfy both of the drawn inequalities?

$-1\le x < 2$

$-1\le x < 1$

$0\le x < 1$ ✓

$0\le x < 2$

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Incorrectly interpreting the inequality diagram.

A filled in circle means the value is valid. An empty circle means the inequality is strict.

Inequality - An inequality is used to show that one expression may not be equal to another.