Question

15. The inequality below is almost solved. Sherri says the final answer isx >= -18 while Mo says the final answer is x <= -18. Who is correct?A-Sherri is correctB-They are both incorrectC-Mo is correct

Answer 1

The given inequality is:

`\begin{gathered} (1)/(3)x-(x+5)\geq7 \\ (1)/(3)x-x-5\geq7 \\ -(2)/(3)x-5\geq7 \\ -(2)/(3)x\geq7+5 \\ -(2)/(3)x\geq12 \\ \text{ Multiply both sides by }-(3)/(2)\text{ and change the sign of the inequality to }\leq \\ x\leq12*(-(3)/(2)) \\ x\leq-18 \end{gathered}`

Therefore, the correct answer is choice C:

Mo is correct

.