Can someone explain how to find the solution to the inequality. −2x − 14 > −4 + 3x Please show me step by step.

Answer 1

adding 4 ... −2x − 10 > 3x

adding 2x ... − 10 > 5x

dividing by 5 ... − 2 > x

Answer 2

−2x − 14 > −4 + 3x

Subtract 3x from both sides.
Add 14 to both sides.

-5x > 10

Divide both sides by -5.

But these things will change direction of the inequality:
Multiplying or dividing both sides by a negative number
Swapping left and right hand sides

x < -2

Answer 3

Thank you VERY much for helping me understand!

Answer 4

You're welcome.

Oh -- I forgot to attribute my source above --
https://www.mathsisfun.com/