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

A solution is a value, or set of values, that can be put in place of an unknown which makes the equation true.

Solution set notation

Maths

In this unit, pupils will learn how to extend their understanding of solving equations and extend this to consider inequalities. Pupils will consider a variety of inequalities and ways that their solutions can be represented.

Inequalities

Rather than writing a pair of solutions as $$x<10$$ or $$x>15$$ we would write $${\{x: x<10}\}\cup{\{x: x>15}\}$$ This is called ...

Which is the correctly written set notation for these inequalities?

How many values are in this solution set? $${\{x:x \text { is an integer}}\}\cap{\{x:19<{x}\le27}\}$$ {{}}

How many values are in this solution set? $${\{x:x \text { is an integer}}\}\cap{\{x:-3<{x}<1}\}$$

$${\{x:x \text { is an integer}}\}\cup{\{x:2<{x}<8}\}$$

$${\{x:x \text { is an integer}}\}\cap{\{x:2<{x}<8}\}$$

$${\{x:x \text { is an integer}}\}\cap{\{x:2<{x}\le7}\}$$

$${\{x:x \text { is an integer}}\}\cap{\{x:2\le{x}\le7}\}$$

Which of the below represents this set of values?

An inequality is used to show that one expression may __________ be equal to another.

What inequality is represented on this number line?

Which integers satisfy this inequality? $$-2<{x}\le1$$

Which of these integer values satisfy both of these inequalities? $$-1<{x}$$ and $${x}\le3$$

Give any integer value which satisfies the inequality $$2x+8<5x-7\le38$$.

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