Find all real numbers x such that 3x - 7 ≤ 5x +9. Give your answer as an interval.

Question

01-04-2018
Mathematics

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Find all real numbers x such that 3x - 7 ≤ 5x +9. Give your answer as an interval.

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meloan2211 meloan2211 · Answer 1 · 2018-04-01T03:42:15+02:00

meloan2211 meloan2211

01-04-2018

I'm assuming interval means range?

3x - 7 <= 5x + 9
3x <= 5x + 9 + 7
3x - 5x <= 16
-2x <= 16
x >= -8

Answer:
x >= -8

NOTE: I switched the direction of the inequality sign because I divided both sides by a negative number.

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