Solve the inequality. x^2 + 3x - 5 > 5

x>2, x>-5

Step-by-step explanation:

x^2 + 3x - 5 > 5

x^2 + 3x - 1 > 0

(x-2) (x+5) > 0

x > 2, x > - 5

This is a quadratic inequality.

x^2 + 3x - 5 > 5

x^2 + 3x - 5 - 5 > 0

x^2 + 3x - 10 > 0

Factor left side.

(x + 5) (x - 2) > 0

Set each factor to be > 0.

x + 5 > 0

x > - 5

x - 2 > 0

x > 2

Answer:

x > - 5

x > 2

Do you understand what the answer means? Math is more than simply solving for x or whatever. You need to understand what is going on in the process.