Question

Solve the inequality 4x − 6 > 6x − 20.

a.)x > 7
b.) x < 7
c.)x < 2
d.)x > 2

Answer 1

To solve for this, we need to get x on one side and then simplify from there if possible.
Currently, our inequality is:

4x -6 > 6x -20
First, subtract 6x from both sides to get x on one side.
4x-6x = -2x

Your new inequality is :

-2x -6 > -20
Add 6 to both sides to get x by itself.
-6 + 6 = 0
-20 + 6 = -14

Your new inequality is:
-2x > -14
Divide both sides by -2.
Remember, when dividing or multiplying by a negative, you must flip the inequality sign.

x <_ (less than or equal to) 7

I hope this helps!