Prior knowledge: Representing Inequalities in Graphs

What is an 'Inequality' in Maths?

• An inequality shows which value is the best.

• An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

• An inequality shows how equal values are can compared.

• Economic and political differences in society.

Work out  $\frac{5\ +\ 3}{2\ +\ 2}$  

• 7

• 2

• 0

• 1

Work out  $\frac{-4\ +\ 2}{2\ -\ 0}$  

• 10

• 1

• 5

• -1

Work out  $\frac{-5\ +\ 1}{0\ -\ 2}$  

• 2

• -2

• 5

• 4

Work out  $\frac{2\ -\ 3}{2\ +\ 2}$  

• - $\frac{1}{4}$  

•  $\frac{3}{2}$  

•  $\frac{3}{8}$  

• 0

The gradient of  $y\ =\ 2x\ -\ 3$ is ________

Solve the inequality  $x\ +\ 2\ <\ 3$ 

•  $x\ \ne\ 0$  

•  $x\ <\ 1$  

•  $x\ >\ 1$  

•  $x\ =\ 1$  

Solve the inequality  $x\ -\ 3\ \ge\ -3$ 

•  $x\ \ne\ 0$  

•  $x\ \le\ 0$  

•  $x\ \ge\ 0$  

•  $x\ >\ -3$  

Solve the inequality  $4x\ -\ 3\ \ge\ -5$  

•  $x\ \ge\ 2$  

•  $x\ \ge\ -1$  

•  $x\ \ge\ -\frac{1}{2}$  

•  $x\ =\ -\frac{1}{2}$  

The gradient of  $2y\ +\ 4x\ +\ 3\ =\ 0$  is _________