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GB-08-03-001 · Negative coefficient inequalities

Solve 4−3x≤374-3x\le 37.

Linear Inequalities (Dividing by a Negative) Booklet p. 15
Method
1) Kill, kill (same as solving equations)
2) If you ×/÷ by a negative number then FLIP the inequality sign!
Worked Example (GB-08-03-001)
4−3x≤374 - 3x \le 37
← Kill +4+4
−4-4 −4-4
−3x−3≥33−3\frac{-3x}{-3} \ge \frac{33}{-3}
← Divided by negative −3-3 ⇒ FLIP SIGN!
x≥−11x\ge -11
Divided by a negative number so flip inequality sign!
0 -11