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GB-08-02-001 · Linear inequalities

Solve 2x+5<−272x+5<-27.

Linear Inequalities (Solving) Booklet p. 15
Method
1) Kill, kill (same as solving equations)
2) Keep the inequality sign pointing the same way when dividing by a positive number
Worked Example (GB-08-02-001)
2x+5<−272x + 5 < -27
← Kill +5+5
−5-5 −5-5
2x2<−322\frac{2x}{2} < \frac{-32}{2}
← Divide by +2+2 (keep sign)
x<−16x<-16
0 -16