Solve the inequality. $\frac { 10 ( x - 8 ) } { 5 } \geq \frac { 5 ( x + 4 ) } { 4 }$
A) $\quad ( - 28 , \infty )$
B) $[ 28 , \infty )$
C) $\quad ( 28 , \infty )$
D) $[ - 28 , \infty )$
E) none of the above

Question

Quizplus · Accepted Answer

\begin{align*}
\frac{10(x-8)}{5} &\geq \frac{5(x+4)}{4}\
2(x-8) &\geq x+4\
2x-16 &\geq x+4\
x &\geq 20
\end{align*}
Therefore, the solution set is $[28,\infty)$, which is answer choice B.

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Solve the Inequality $\frac { 10 ( x - 8 ) } { 5 } \geq \frac { 5 ( x + 4 ) } { 4 }$