Find all real numbers $x$ such that $3x - 7 \le 5x +9$. give your answer as an interval.

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asked Mar 21, 2018 57.6k views

2 Answers

MiFi · Answer 1 · 2018-03-24T18:11:22+0000

We want to solve the inequality
3x - 7 ≤ 5x + 9
Subtract 3xfrm each side.
-7 ≤ 2x + 9
Subtract 9 from each side.
-16 ≤ 2x
Divide each side by 2.
-8 ≤ x
Multiply each side by -1.
8 ≥ x
Therefore -∞ < x ≤ 8 or x = (-∞, 8]

Answer: x = (-∞, 8]

Find all real numbers $x$ such that $3x - 7 \le 5x +9$. give your answer as an interval.

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