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? \( \begin{array}{ll}\text { A. } x \geq-3 & \text { B. } x \leq-3 \\ \text { C. } x \geq 3 & \text { D. } x \leq 3\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
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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