Question

Solve 4x < 2x - 10 and -3x > -12 which is the best description of the solution set? A x < -5 and x < 4 B x < -5 or x > 4 C x < -5 D x < 4

Answer 1

4x < 2x - 10
4x - 2x < 2x - 2x - 10
2x< -10
2x/2 < -10/2
x < - 5

-3x > -12
-3x/-3 < -12/-3
x < 4 (change signs when dividing by a negative)

you now have x is less then -5 and x is less then 4
ANSWER : A