Conner Coles
08/13/2023 · Senior High School

Look at the inequality below. \( -2 x \leq 6 \) Which of these best describes the solution of this inequality? \( \begin{array}{ll}\text { A. } x \geq-3 & \text { B. } x \leq-3 \\ \text { C. } x \geq 3 & \text { D. } x \leq 3\end{array} \)

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To solve the inequality \( -2x \leq 6 \), we can start by isolating \( x \). 1. Divide both sides of the inequality by -2. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign: \[ x \geq \frac{6}{-2} \] 2. Simplifying the right side gives: \[ x \geq -3 \] Thus, the solution to the inequality \( -2x \leq 6 \) is \( x \geq -3 \). The best description of the solution from the options provided is: **A. \( x \geq -3 \)**.

Quick Answer

The solution is \( x \geq -3 \).
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