Question

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

Answer 1

Answer: a

Explanation:

Step 1 : Substitute x for -1, distribute, subtract 7 then add 3 from both sides, and divide by -3.

-3(-x+a)+7 < 5

-3(-(-1)+a)+7 < 5

-3(1+a)+7 < 5

-3-3a+7 < 5

-3a < 1

Step 2 : Divide by -3 then flip the inequality sign.

Why? because when diving by a negative in an inequality equation, you need to flip the sign.

-3a/-3 < 1/-3

a > -1/3

Solution Set : {
`a|a > -(1)/(3)` }

I hope this helps :)