Question

Solve the inequality for the smallest integer that would satisfy the given inequality

-x+2<3x-6

Answer 1

Explanation:

-x + 2 < 3x - 6

8 < 4x

2 < x

so, the smallest integer that makes that true is therefore x = 3.

Answer 2

Explanation:

-x+2<3x-6

-x-3x< -6-2

-4x < -8

-x < -2

When sign changes , inequality sign changes

x > 2