Solution set notation | Maths | Quizalize & Oak National Academy

Starter quiz

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

not ✓

actually

well

mathematically
What inequality is represented on this number line?

$x<2$

$x>2$ ✓

$x\le2$

$x\ge2$

$2<{x}<8$
Which integers satisfy this inequality? $-2<{x}\le1$

$-2$

$-1$ ✓

$0$ ✓

$1$ ✓

$0.1$
Which of these integer values satisfy both of these inequalities? $-1<{x}$ and ${x}\le3$

$-2$

$-1$

$0$ ✓

$3$ ✓

$5$
Solve $3(x-5)>9$

$x>8$ ✓

$x>5$

$x<8$

$x<5$

$x>24$
Give any integer value which satisfies the inequality $2x+8<5x-7\le38$ .

'6' ✓

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 ...

solution notation

set notation ✓

inequality notation
Which values satisfy these inequalities?

${\{x: x\le-3}\}\cup{\{x: x>1}\}$ ✓

${\{x: x\le-3}\}$

${\{x: x>1}\}$

$x>1$

$x\le-3$
Which is the correctly written set notation for these inequalities?

${\{-4<{x}\le-1}\}\cup{\{x>1}\}$

${\{x: {x}\le-1}\}\cup{\{x: x>1}\}$

${\{x: -4<{x}\le-1}\}\cup{\{x: x>1}\}$ ✓

${\{x: -4<{x}\le-1}\}\cap{\{x: x>1}\}$

${\{-4<{x}\le-1}\}{\{x>1}\}$
How many values are in this solution set? ${\{x:x \text { is an integer}}\}\cap{\{x:19<{x}\le27}\}$ ______

'8' ✓
How many values are in this solution set? ${\{x:x \text { is an integer}}\}\cap{\{x:-3<{x}<1}\}$

None

$2$

$3$ ✓

There are infinitely many
Which of the below represents this set of values?

${\{x:3\le{x}\le7}\}$

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

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

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

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

Loading worksheet ...

Loading presentation ...

3 > x > 9 is a valid way to combine x < 3 and x > 9

Test a value to show pupils that this does not make sense. When x = 0, it is true that x < 3 but not true that x > 9 so 3 > 0 > 9 does not work.

Inequality - An inequality is used to show that one expression may not be equal to another.
Solution - A solution is a value, or set of values, that can be put in place of an unknown which makes the equation true.