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3.6 & 3.7 Solving Simple One Step Inequalities < > < >

3.6 & 3.7 Solving Simple One Step Inequalities < > < >

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Page 1: 3.6 & 3.7 Solving Simple One Step Inequalities < > < >

3.6 & 3.7 Solving Simple One Step Inequalities

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Page 2: 3.6 & 3.7 Solving Simple One Step Inequalities < > < >

Solving Inequalities by using Addition and Subtraction

Treat them the same way as equations

x + 3 > –5x + 3 > –5

–3 –3

x > –8

–9 -8 –7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5

m – 4 ≥ –2

m – 4 ≥ –2+ 4 + 4

m ≥ 2

–1 0 1 2 3 4 5 6 7 8 9 10 11 12

Page 3: 3.6 & 3.7 Solving Simple One Step Inequalities < > < >

Solving Inequalities by Multiplying and Dividing

Treat the same as equations Except

When you multiply (or divide) both sides of an inequality by a negative number, you must reverse the inequality symbol to make the statement true.

48 < a, or a > 48

12 < a 44 • 12 < 4 • a

4

–3 > a or a < -3

12 ≤ –4a

≥ –4a –4

12 –

4

Page 4: 3.6 & 3.7 Solving Simple One Step Inequalities < > < >

w – 8 ≥ –3

w – 8 ≥ –3+ 8 + 8

w ≥ 5

Give it a try

c + 6 ≤ –1 c + 6 ≤ –1

– 6 – 6

c ≤ –7

48 < a, or a > 48

12 < a 44 • 12 < 4 • a

4

b ≥ –5

–9b ≤ 45

≥ 45 –9

– 9b –9