Solve x2 - 8x + 15 <0.

Recall that the quadratic factors as:

(x - 3) (x - 5) <0

Therefore, the intervals that must be tested are

x<3,3 5.

The solution set for the quadratic inequality is:

x<3 and x<5

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followed;

Step 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x (x - 3) - 5 (x - 3) <0

(x - 3) (x - 5) < 0

x - 3<0 and x - 5<0

x< 3 and x< 5

Therefore, the solution set for the quadratic inequality are x<3 and x<5