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−3(a–b) < 0, which is the greater: a or b? Give numerical examples.

User Domchi
by
4.6k points

2 Answers

4 votes

Answer:

a>b

Explanation:

User Soumya Boral
by
4.9k points
3 votes

Answer:

a>b

Explanation:

−3(a–b) < 0

Divide each side by -3, remembering to flip the inequality since we are dividing by a negative

−3(a–b)/-3 > 0/-3

a-b > 0

Add b to each side

a-b+b > 0+b

a >b

a is greater than b

Let a = 5 and b = 4

−3(5–4) < 0

-3 (1) < 0

-3 <0 True

If a <b Then it would be false

Let a = 5 and b =7

−3(5–7) < 0

-3 (-2)<0

6< 0 this is false

User German Blanco
by
4.7k points