Q. -\frac{3}{2}x+5 < 7What values of x satisfy the inequality?Choose 1 answer:(A) x < −8(B) x > −3(C) x > -\frac{4}{3}(D) x > 8
Isolate x term: Isolate the term containing x on one side of the inequality.Subtract 5 from both sides of the inequality -\frac{3}{2}x + 5 < 7.-\frac{3}{2}x + 5 - 5 < 7 - 5-\frac{3}{2}x < 2
Subtract 5: Solve for x by dividing both sides of the inequality by −23.Remember that dividing by a negative number reverses the inequality sign.x > \frac{2}{-\left(\frac{3}{2}\right)}x > 2 \times \left(-\frac{2}{3}\right)x > -\frac{4}{3}