Given: - 3 (a-b) >0, which is the greater: a or b? Give numerical examples.

b is greater than a.

Step-by-step explanation:

-3 (a-b) > 0

a - b < 0 - The sign is flipped because we are dividing by a negative.

Checking with some values of a and b:

Let a = 4 and b = 2:

-3 (4 - 2) = - 6 which is not > 0.

a = 3, b = 3

-3 (3-3) = 0 (not greater)

a = 2 b = 3

-3 (2 - 3) = - * - 1 = 3 which is greater than 0.

-3 (a-b) < 0. divide both sides by - 3 and reverse the inequality sign: 0 0