Answer:
The solution set is x ∈ ( -3 , ∞ ) .
Explanation:
Two functions are given to us. And we have to find x such that g(x) > h(x) that is { x : g(x) > h(x)} .
So , the given functions are ,
- g(x) = 6x + 7
- h(x) = 3x - 2.
According to Question ,
⇒ g(x) > h(x)
⇒ 6x + 7 > 3x - 2
⇒ 6x - 3x > -2 -7
⇒ 3x > -9
⇒ x > (-9)/3
⇒ x > (-3)
Hence x can have all values greater than (-3). Therefore x ∈ (-3 , ∞ ) .
Hence the solution set of x is x ∈ (-3,∞)