The OA for this question is D .
Is the OA correct?
absolute values
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I'm getting C as my answer. See below:
Stem #1:
There are 2 answers for x to complete the inequality since |x+3| can be either:
i) x+3 = 14, whereby x = 11
ii) x+3 = -14, whereby x = -17
Therefore, Stem 1 is NS
Stem #2:
Few steps involved here:
i) De-simplify the LHS, so you get x^2+4x+4.
ii) Rearrange the equation, and you end up with x^2+4x-165=0
iii) Factor out, and we get (x+15)(x-11). This means that x can either be 11 or -15.
Therefore, Stem 2 is NS
Combining Stem 1 and 2, we see that 11 is a common occurrence in both. Therefore, the answer is C.
Stem #1:
There are 2 answers for x to complete the inequality since |x+3| can be either:
i) x+3 = 14, whereby x = 11
ii) x+3 = -14, whereby x = -17
Therefore, Stem 1 is NS
Stem #2:
Few steps involved here:
i) De-simplify the LHS, so you get x^2+4x+4.
ii) Rearrange the equation, and you end up with x^2+4x-165=0
iii) Factor out, and we get (x+15)(x-11). This means that x can either be 11 or -15.
Therefore, Stem 2 is NS
Combining Stem 1 and 2, we see that 11 is a common occurrence in both. Therefore, the answer is C.