Question

Consider the quadratic inequality, x^2 - 3x < 10. When you solve the inequality the solution is -2

Answer 1

−2<x<5

Explanation:

x2−3x=10

x2−3x−10=10−10(Subtract 10 from both sides)

x2−3x−10=0

(x+2)(x−5)=0(Factor left side of equation)

x+2=0 or x−5=0(Set factors equal to 0)

x=−2 or x=5

Check values in the intervals to see if they work.

x<−2(Doesn't work in original inequality)

−2<x<5(Works in original inequality)

x>5(Doesn't work in original inequality)

So, the proper answer for me is −2<x<5.