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3.6 & 3.7 Solving Simple One Step Inequalities
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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
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
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