1. Inequalities
Linear

2. Linear Inequalities
KUS objectives
BAT solve all linear Inequalities
Starter: identify each inequality
𝑥<7 5 6 7 8 9 4 3
𝑥≥4.5 5 6 7 8 9 4 3
3≤ 𝑥<8 5 6 7 8 9 4 3

3. Starter: inequalities notation 3
Example 1
WB1a
Starter: inequalities notation 3
Solve this just as you would solve a normal equation 5 6 7 8 9 4 3

4. Starter: inequalities notation 3
Example 2
WB1b
Starter: inequalities notation 3 5 6 7 8 9 4 3

5. Starter: inequalities notation 3
Example 3
WB1c Brackets
Starter: inequalities notation 3 6 7 8 9 5 4

6. Starter: inequalities notation 3
Example 4
WB1d Brackets by expanding
Starter: inequalities notation 3 5 6 7 8 9 4 3

7. inequalities notation 3
WB1e x both sides
inequalities notation 3 10 12 14 8

8. inequalities notation 3
WB1f x both sides
inequalities notation 3 10 12 14 8

9. Starter: inequalities notation 3
Example 6 i
WB1g negative coefficients of x
Starter: inequalities notation 3

10. Starter: inequalities notation 3
Example 6 ii
WB1h negative coefficient of x – alternative method
Starter: inequalities notation 3
oops
Inequalities: If you change the signs
the symbol changes!

11. Problems in context WB 2 questions in context
The car park of a rectangular supermarket has a Perimeter fence at least 400 m long. The length of the car park is 12 m longer than the width.
(i) Form an Inequality and solve it
The fence used for the car park comes in sections that cost £28 per section. The supermarket manager has worked out they can buy the fencing for less than £560
(ii) Form an Inequality and solve it

12. So far you should be able to:
SUMMARY
So far you should be able to:
Read and understand Inequalities
Show Inequalities with x on a number line
Solve Linear Equations and Inequations using Inverses
Deal with brackets, x both sides and negative
coefficients of x
Next and Last:
Solve problems in context

13. One thing to improve is –
KUS objectives BAT solve all linear Inequalities
self-assess
One thing learned is –
One thing to improve is –

14. END