Question

Which of the following solution sets represent the inequality 3-1/2x ≥10

Answer 1

Answer: x ≤ -14

Explanation:

3 -
`(1)/(2)`x ≥ 10

1) You want to subtract 3 from both sides of the equation: 3 -
`(1)/(2)`x ≥ 10

-3 -3

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2) Once you subtract 3 from both sides of the equation you'll be able to cancel out 3-3.

3) After, you'll be left with; -
`(1)/(2)`x ≥ 7

4) You'll then want to divide both sides by -
`(1)/(2)` to isolate x.

5) Divide 7 by -
`(1)/(2)`

6) X ≥ -14, but then you'll want to flip the inequality since you divided by a negative.

7) X ≤ -14