Question

Solve the inequality and express your answer in interval notation.
x^2 + 12x +7 < 0

Answer 1

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.

Answer 2

B.
`(-6-√(29),-6+√(29))`

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