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

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

asked
User Mttrb
by
8.5k points

2 Answers

3 votes

Answer:

[-8, inf)

Explanation:

The "expert verified" is wrong

answered
User Xochitl
by
8.4k points
6 votes
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]

answered
User MiFi
by
8.0k points
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