Question

Solve for for x:

3x - 2 > 5x + 10

a. X> 6
b. x < 6
c. x < -6
d. X > -6

Answer 1

`x < -6`

Explanation:

`~~~~~~3x-2 > 5x+10\\\\\implies 5x+10 < 3x-2\\\\\implies 5x < 3x-2-10\\\\\implies 5x < 3x-12\\\\\implies 5x-3x < -12\\\\\implies 2x < -12\\\\\implies x < -\frac{12}2\\\\\implies x < -6`