Inequalities Linear

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

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

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

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

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

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

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

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

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!

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

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

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

END