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!