Question

Which is the solution set of a for -3(-x+a)+7<5 when x=-1?

A,a>-(1)/(3)
B a<-(1)/(3)
C a>(5)/(3)
D a<(5)/(3)

Answer 1

After substituting x=-1 into the inequality and solving for a, we find that the solution set is a > -(1/3), corresponding to option A.

Step-by-step explanation:

The student asked which is the solution set of a for the inequality -3(-x+a)+7<5 when x=-1. To solve the inequality, we must substitute the value of x into the inequality and then solve for a.

Substitute x=-1 into the inequality:

-3(-(-1)+a)+7 < 5-3(1+a)+7 < 5-3-3a+7 < 54-3a < 5-3a < 5-4-3a < 1a > -(1/3)

Since we divided by a negative number, the inequality symbol switches direction. Therefore, the solution set of a is a > -(1/3), which corresponds to option A.