M06-04

Quantitative :: Data sufficiency :: M06-04
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If g is an integer what is the value of (−1)^(g^4−1)?

(1) g^2<1

(2) g^2+2g−3<0

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH stamenents TOGETHER are sufficient, but NEITHER stamenent ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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(1) g^2<1 → since g is an integer then g=0. Sufficient to calculate the value of (−1)g4−1.

(2) g^2+2g=0 → g(g+2)=0 → g=0 or g=−2. Since both possible values of g are even then (−1)even4−1=(−1)even−1=(−1)odd=−1. Sufficient.

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I answered A. This question has a problem. (2) g^2+2g−3<0 ---->> g= -1 or g=3, how come the solution changes the equation totally??