155k views
4 votes
Solve the inequality and express your answer in interval notation.
x^2 + 12x +7 < 0

Solve the inequality and express your answer in interval notation. x^2 + 12x +7 &lt-example-1
User Alar
by
8.4k points

2 Answers

4 votes

Answer: (-6-
√(29), -6+
√(29)) ==> D

Explanation:

x^2 + 12x +7 < 0

x^2+12x+36-29<0

(x+6)^2-29<0

(x+6)^2<29

x+6<
√(29)

x<-6+
√(29)

x+6>-
√(29)

x>-6-
√(29)

(-6-
√(29), -6+
√(29)) ==> D

-6-
√(29) and -6+
√(29) aren't included in the solution since if these values are plugged in to x^2 + 12x +7, the expression will equal 0. That's not supposed to happen. The expression is supposed to be LESS than 0.

User Keithm
by
8.2k points
1 vote

Solution:

B.
(-6-√(29),-6+√(29))

Hope this helps! If so, lmk! Thanks and good luck!

User Jonty Morris
by
8.1k points

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