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iVinArrow [24]
4 years ago
11

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

Mathematics
1 answer:
Naily [24]4 years ago
6 0
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]

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