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-(3)/(2)x+5 < 7 What values of x satisfy the inequality? Choose 1 answer: (A) x < -8 (B) x > -3 (c) x > -(4)/(3) (D) x > 8

-\frac{3}{2} x+5<7 \newlineWhat values of x x satisfy the inequality?\newlineChoose 11 answer:\newline(A) x<-8 \newline(B) x>-3 \newline(C) x>-\frac{4}{3} \newline(D) x>8

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Q. −32x+5<7 -\frac{3}{2} x+5<7 \newlineWhat values of x x satisfy the inequality?\newlineChoose 11 answer:\newline(A) x<−8 x<-8 \newline(B) x>−3 x>-3 \newline(C) x>−43 x>-\frac{4}{3} \newline(D) x>8 x>8
  1. Isolate the term: Isolate the term containing xx on one side of the inequality.\newlineSubtract 55 from both sides of the inequality -\frac{3}{2}x + 5 < 7.\newline-\frac{3}{2}x + 5 - 5 < 7 - 5\newline-\frac{3}{2}x < 2
  2. Solve for x: Solve for x by dividing both sides of the inequality by −(3)/(2)-(3)/(2).\newlineRemember that dividing by a negative number reverses the inequality sign.\newlinex > 2 / (-(3)/(2))\newlinex > 2 \cdot (-2/3)\newlinex > -4/3
  3. Compare the solution: Compare the solution to the answer choices.\newlineThe solution x > -\frac{4}{3} matches with choice (C) x > -\left(\frac{4}{3}\right).

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