Solving simple linear inequalities | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these inequalities are valid?

$3<5$ ✓

$-3<-5$

$4>-2$ ✓

$-4>2$
Which of these values satisfy the inequality $x \ge -3$ ?

-4

-3 ✓

-2 ✓

-4.5

-3.5
Which of these diagrams could represent the inequality $a>3$ ?
The solution to the equation $3x-5=7$ is when $x=$ ______.

'4' ✓
The solution to the equation $3(x+4)=21$ is when $x=$ ______.

'3' ✓
What is the solution to this equation $\frac{4x+3}{5}=5$ ?

$x=-2$

$x=-{1\over2}$

$x={2\over 11}$

$x={1\over2}$

$x={11\over 2}$ ✓

The solution to the inequality $3a-2 \ge 4$ is when $a \ge$ ______.

'2' ✓
Which of these satisfies the inequality $2b+3 < 5$ ?

$b=-1$ ✓

$b=0$ ✓

$b=0.5$ ✓

$b=1$

$b=2.5$
Which of these shows all solutions to the inequality ${a\over 3} + 4 \le 7$ ?

$a \le 1$

$a<1$

$a \le 9$ ✓

$a<9$

$a \ge 33$
Which of these represents all solutions to the inequality $8<4(x-3)$ ?
If $-x<-4$ which of the following is an equivalent inequality?

$x<4$

$x<-4$

$x>4$ ✓

$x>-4$
Which of these shows all solutions to the inequality $5-3x<8$ ?

$x>-1$ ✓

$x<-1$

$x>1$

$x<1$

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Dividing or multiplying by -1 does not change the inequality sign.

2 < 3 becomes -2 > -3 when both sides are multiplied by -1.

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