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mathdad
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Section 2.6
Question 50Solve the quadratic inequality.
(x^2 - 1)/(x^2 + 8x + 15) ≥ 0
x^2 - 1 = (x - 1)(x + 1)
Question:
Do I solve the numerator or denominator to find the end points?
Setting each numerator factor to 0 we get x = 1, x = -1.
Factor denominator.
x^2 + 8x + 15 = (x + 3)(x + 5)
Set each denominator factor to 0.
x + 3 = 0
x = -3
x + 5 = 0
x = -5
Question:
Do I place x = -3 & x = -5 on the number line to test each interval?
Is the correct number line as follows?
<-----(-5)-----(-3)-----(-1)-----(1)----->
It looks like we must test 5 intervals, correct?
Question 50Solve the quadratic inequality.
(x^2 - 1)/(x^2 + 8x + 15) ≥ 0
x^2 - 1 = (x - 1)(x + 1)
Question:
Do I solve the numerator or denominator to find the end points?
Setting each numerator factor to 0 we get x = 1, x = -1.
Factor denominator.
x^2 + 8x + 15 = (x + 3)(x + 5)
Set each denominator factor to 0.
x + 3 = 0
x = -3
x + 5 = 0
x = -5
Question:
Do I place x = -3 & x = -5 on the number line to test each interval?
Is the correct number line as follows?
<-----(-5)-----(-3)-----(-1)-----(1)----->
It looks like we must test 5 intervals, correct?