If –2<a<11 and 3<b<12, then which of the following is NOT true?
(A) 1<a+b<23
(B) -14<a-b<8
(C) -7<b-a<14
(D) 1<b+a<23
(E) -24<ab<132
If we work with the two inequalities we subtract the max of 2nd from min of 1st hence subtracting 11 from 3 gives us –8.
Hence ineq. Should be –8<b-a<14.
Answer (C).
(A) 1<a+b<23
(B) -14<a-b<8
(C) -7<b-a<14
(D) 1<b+a<23
(E) -24<ab<132
If we work with the two inequalities we subtract the max of 2nd from min of 1st hence subtracting 11 from 3 gives us –8.
Hence ineq. Should be –8<b-a<14.
Answer (C).
