How do you solve the inequality #9x-2x > 4x - 10#?
1 Answer
Nov 28, 2015
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)
