Solve the inequality. x^2 + 3x − 5 > 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

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.

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