For the following problem, solve the inequality. $- 20 n \leq - 140$
A) $( 7 , \infty )$
B) $( - \infty , 7 ]$
C) $[ 7 , \infty )$
D) $( - \infty , 7 )$
E) none of these

Question

Quizplus · Accepted Answer

To solve this inequality, we need to isolate the variable n by dividing both sides by -20. However, we also need to flip the inequality sign since we are dividing by a negative number.

\begin{align*}
-20n &\leq -140 \
\frac{-20n}{-20} &\geq \frac{-140}{-20} \
n &\geq 7 \
\end{align*}

Therefore, the solution to the inequality is n ≥ 7. The correct choice is C, which represents the solution in interval notation.

For the Following Problem, Solve the Inequality −20n≤−140- 20 n \leq - 140−20n≤−140

For the Following Problem, Solve the Inequality $- 20 n \leq - 140$