# Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x

QUESTION POSTED AT 18/04/2020 - 07:32 PM

QUESTION POSTED AT 18/04/2020 - 07:32 PM

1. Add 6x to both sides

-10 > 14 + 2x + 6x

2. Simplify 14 + 2x + 6x to 14 + 8x

-10 > 14 + 8x

3. Subtract 14 from both sides

-10 - 14 > 8x

4. Simplify -10 - 14 to -24

-24 > 8x

5. Divide both sides by 8

- 24/8 > x

6. Simplify 24/8 to 3

-3 > x

7. Switch sides

x < -3

-10 > 14 + 2x + 6x

2. Simplify 14 + 2x + 6x to 14 + 8x

-10 > 14 + 8x

3. Subtract 14 from both sides

-10 - 14 > 8x

4. Simplify -10 - 14 to -24

-24 > 8x

5. Divide both sides by 8

- 24/8 > x

6. Simplify 24/8 to 3

-3 > x

7. Switch sides

x < -3

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