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4x-6>6x-20 solve for the inequality

User Jilouc
by
5.3k points

1 Answer

4 votes

Answer:

x < 7

Explanation:

4x - 6 > 6x - 20

Add 6 to both sides.

4x - 6(+6) > 6x -20(+6)

Simplify.

4x > 6x - 14

Subtract 6x from both sides.

4x(-6x) > 6x(-6x) - 14

Simplify.

-2x > -14

Multiply both sides by -1 (reverse the inequality).

(-2x)(-1) < (-14)(-1)

Simplify.

2x < 14

Divide both sides by 2.

2x/2 < 14/2

Simplify.

x < 7

User Rallrall
by
5.0k points