Answered

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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

15 The Inequality Below Is Almost Solved Sherri Says The Final Answer Isx Gt 18 While Mo Says The Final Answer Is X Lt 18 Who Is CorrectASherri Is CorrectBThey class=

Sagot :

The given inequality is:

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

Therefore, the correct answer is choice C:

Mo is correct

.

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