Question

Find the solution set of 4x−3>9
and x+6>−2
.(1 point)
Responses

{x|x>3}
start set x such that x is greater than 3 end set

{x|x>−8}
start set x such that x is greater than negative 8 end set

The solution set is null.
The solution set is null.

{3,−8}
start set 3 comma negative 8 end set

Answer 1

Solve each inequality:

4x − 3 > 9 → 4x > 12 → x > 3.
x + 6 > −2 → x > −8.

Both must hold, so x must be greater than 3 (stronger condition).

Solution: {x | x > 3}.