Answer: C. X<-12
Step-by-step explanation: 1. Begin by isolating the variable term on one side of the inequality.
-3/4x > 17/2 + 1/2
2. Simplify the right side of the inequality.
-3/4x > 18/7
3. Further simplify.
-3/4x>9
4. To isolate the variable ×, divide both sides of the inequality by -3/4.
Remember, when dividing by a negative number, the direction of the
inequality sign flips.
x < 9 / (-3/4)
5. Divide 9 by -3/4. Remember, dividing by a fraction is equivalent to
multiplying by its reciprocal.
x < 9 * (-4/3)
6. Simplify the right side of the inequality.
x<-36/3
7. Reduce the fraction.
x<-12