Question
$\quad$ A student solved the following inequality incorrectly as shown.$$\begin{array}{l}4 x \geq-64 \\\frac{4 x}{4} \leq \frac{-64}{4}\end{array}$$$$x \leq-16 \quad(-\infty,-16]$$WHAT WENT WRONG? Give the correct solution set.
Step 1
Step 1: First, we are given the inequality $4x \geq -64$. Show more…
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A student solved the following inequality incorrectly as shown $$ \begin{aligned} 4 x & \geq-64 \\ \frac{4 x}{4} & \leq \frac{-64}{4} \\ x & \leq-16 \end{aligned} $$ Solution set: $$ (-\infty,-16] $$
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A student solved the following inequality incorrectly as shown. $$ \begin{array}{l} 4 x \geq-64 \\ \frac{4 x}{4} \leq \frac{-64}{4} \end{array} $$ $$ x \leq-16 \quad(-\infty,-16] $$
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A student solved the following inequality as shown. $$ \begin{aligned} 4 x & \geq-64 \\ \frac{4 x}{4} & \leq \frac{-64}{4} \\ x & \leq-16 \end{aligned} $$ $$ \text { Solution set: }(-\infty,-16] $$
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