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Can someone help me for this question? Pls I need to know how I can solve this question!!!!

Can someone help me for this question? Pls I need to know how I can solve this question-example-1
User Syava
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2 Answers

6 votes

-1 <= (-3x + 5) / 7 <= 2

Multiply all sides by 7

-7 <= -3x + 5 <= 14

Subtract all sides by 5

-12 <= -3x <= 9

Divide all sides by -3 (remember when divide a negative, sign will be flipped)

4 >= x >= -3

or

-3 <= x <= 4

User Max Barrass
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8.2k points
6 votes


-1 \leq (-3x + 5)/(7) \leq 2

-7 ≤ -3x + 5 ≤ 14 multiplied all three sides by 7

-5 -5 -5

-12 ≤ -3x ≤ 9

4 ≥ x ≥ -3 divided all three sides by -3 (which reversed the symbols)

Answer: -3 ≤ x ≤ 4

Graph: -3 --------------------- 4

Interval Notation: [-3, 4]

User Javier Rojano
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7.9k points