Question

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

Answer 1

Answer: x ≤ -14

Step-by-step explanation:

3 - $\frac{1}{2}$x ≥ 10

1) You want to subtract 3 from both sides of the equation: 3 - $\frac{1}{2}$x ≥ 10

                                                                                               -3           -3

                                                                                          ------------------------

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; -$\frac{1}{2}$x ≥ 7

4) You'll then want to divide both sides by -$\frac{1}{2}$ to isolate x.

5) Divide 7 by -$\frac{1}{2}$

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

7) X ≤ -14