Inequations

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Inequations:

Inequations

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What do you think each of these following conventions mean?

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INTRODUCTION Write down the inequality that you think is represented by each diagram below: 0 1 2 3 4 5 0 1 2 3 4 5 -4 -3 -2 -1 0 1 5 6 7 8 9 10 -2 -1 0 1 2 3 -6 -2 2 6 10 14 (a) (b) (c) (d) (e) (f)

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SOLVING INEQUALITIES EXAMPLES Solve the following inequalities and represent the solutions on a number line: 1) 𝑥 + 8 < 11 3) 4) 2) 𝑥 4 + 7 > 2 𝑥 + 6 8 - 8 - 8 𝑥 < 3 - 11 - 11 2 𝑥 ≤ 7 ÷ 2 ÷ 2 𝑥 ≤ 3.5 - 7 - 7 𝑥 4 > -5 x 4 x 4 𝑥 > -20 x 8 x 8 𝑥 + 6 ≥ 24 - 6 - 6 𝑥 ≥ 18 0 1 2 3 4 5 0 1 2 3 4 5 -22 -21 -20 -19 -18 -17 17 18 19 20 21 22 5) 3( 𝑥 + 7) < 45 3𝑥 + 21 < 45 -21 - 21 3 𝑥 < 24 ÷ 3 ÷ 3 𝑥 < 8 4 5 6 7 8 9

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TASK 1 TASK 2 Solve the following inequalities: Solve the following inequalities and represent the solutions on a number line:

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Solution Task 1 Solution Task 2

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Solve the following inequalities and represent the solutions on a number line:

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EXTENSION ANSWERS Solve the following inequalities and represent the solutions on a number line:

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MINI-PLENARY - 3y - 3y 4𝑦 Solve the following inequality and represent the solution on a number line: 6 ÷ 4 ÷ 4 𝑦 < 1.5 0 0.5 1 1.5 2 2.5

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