Question

How do you solve the inequality `9x-2x > 4x - 10`?

Answer 1

x > -10/3, or x > -3.33333333...

Explanation:

First you subtract 2x from 9x:

9x-2x > 4x - 10
7x > 4x - 10

Then you subtract 4x from both sides to get rid of it:

7x > 4x - 10
-4x -4x

3x > -10

Finally, you divide both sides by three to isolate x:

3x > -10
/3 /3

x > -10/3
x > -3.3333333...

If you had to divide the sides by a negative number:

-4y > 20
/-4 /-4

Then you need to flip the inequality.

y < -5

Let's say y is -10. That's less than -5. ( y < -5) If you multiply -10 by -4, it becomes 40 (negative times negative is a positive) and is more than 20. (-4y > 20)