Question

Which of the values below will make -3x + 15 > 102 true?

A. -27
B.-28
C. -29
D. All of the above

Answer 1

C. -29

Explanation:

`-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\(3x)/(3)<(-87)/(3)\\\\Simplify\\\\x<-29`