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 < x < 5 and x > 5.

The solution set for the quadratic inequality is:

Step-by-step explanation:

Given the quadratic inequality we are to find the interval of x

x² − 8x + 15 < 0

Factorize

x²-3x-5x+15<0

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

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

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

if x+3<0

x<-3

If x-5<0

x<5

Hence the solution yo the quadratic inequality are x<3 and x<5

Hence

(3, 5)

Step-by-step explanation:

Correct on e2020

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step-by-step explanation:

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step-by-step explanation: ; )