solve the inequality for real x
14. 37 - (3x + 5) 9x - 8 (x - 3)
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Answer:
Hence, x ∈ (–2] is the solution
Step-by-step explanation:
x: 37 – (3x + 5) ≥ 9x – 8(x – 3) 37 – (3x + 5) ≥ 9x – 8(x – 3) 37 – 3x – 5 ≥ 9x – 8x + 24 32 – 3x ≥ x + 24 –3x – x ≥ 24 – 32 –4x ≥ – 8 –x ≥ −8 4 –x ≥ −2 Since x is negative, we multiply both sides by -1 & change the signs (– 1) × (–x) ≤ (– 1) × (–2) x ≤ 2 Since x is a real number which is less than or equal to 2 Hence, x ∈ (–2] is the solution
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Answered by
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Question
solve the inequality for real x
14. 37 - (3x + 5) 9x - 8 (x - 3)
✅Answer➡️
37-(3x+5)9x-8(x-3)
37-27x-45x-8x+24
61-26x
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