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10 – 2(2x + 2) > 14
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User Xiting
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2 Answers

2 votes

Hello! :)

−4x + 6 > 14 Simplify both sides

−4x + 6 − 6 >1 4 − 6 Subtract 6 from both sides

−4x > 8

-4x/-4 > 8/-4 Divide both sides by -4

x < -2 (ANSWER)

Hope this helped you!

THEDIPER

User Itsmichaelwang
by
5.3k points
4 votes

Answer:

x < -2

Explanation:

1. Original Inequality: 10 – 2(2x + 2) > 14

2. 10-4x-4>14

Distribute the -2 to 2x and 2.

3. Simplify the left side: 6-4x>14

Do 10-4

4. Subtract: -4x>8

Subtract 6 from both sides to get x by itself

5. Divide: x< -
(8)/(4)

You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.

6. Simplify: x< -2

7. Check:

10-2(2(-3) +2) > 14

10-2(-6 + 2)

10-2(-4)

10+8

18 > 14

User Sachin Soma
by
5.4k points