Question

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

Answer 1

Answer:

a>b

Step-by-step 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