Question
Solve for \( x \). \( 7 \geq 13-5 x \) Enter your answer as an inequality in the box.
Ask by Martinez Welch. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x \geq \frac{6}{5} \)
Solution
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The Deep Dive
To solve the inequality \( 7 \geq 13 - 5x \), we can first isolate the term involving \( x \). 1. Subtract 13 from both sides: \( 7 - 13 \geq -5x \) \( -6 \geq -5x \) 2. Now, divide both sides by -5. Remember, when dividing by a negative number, we must flip the inequality sign: \( \frac{-6}{-5} \leq x \) \( \frac{6}{5} \leq x \) This can also be expressed as: \( x \geq \frac{6}{5} \) So, the answer is: \( x \geq \frac{6}{5} \)