Question

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

{3,−8}
{
3
,
−
8
}
left brace 3 comma negative 8 right brace

{x|x>−8}
{
𝑥
|
𝑥
>
−
8
}
left brace x vertical bar x greater than negative 8 right brace

{x|x>3}
{
𝑥
|
𝑥
>
3
}
left brace x vertical bar x greater than 3 right brace

The solution set is null.

Answer 1

Solve each inequality:

1) 4x − 3 > 9 ⇒ 4x > 12 ⇒ x > 3.
2) x + 6 > −2 ⇒ x > −8.

Both must hold, so x must be greater than 3 (the stronger condition). Solution: {x | x > 3}.