Is y between -2 and 1 on the number line?
1) Y is to the right of -1 on the number line.
2) Y is to the left of 2 on the number line.
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iwant700plus
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Picture a number line:
-2----1---0---1---2
Is -2<y<1?
1) y>-1 pick numbers: y=0 YES -2<y<1; y=5 NO -2<y<1 - Insufficient.
2) y<2 again pick numbers: y=0 YES -2<y<1; y=-3NO -2<y<1 - Insufficient.
Together -1<y<2, again we realise the inequality -2<y<1 is not always true or always false. Insufficient.
Ans is E.
-2----1---0---1---2
Is -2<y<1?
1) y>-1 pick numbers: y=0 YES -2<y<1; y=5 NO -2<y<1 - Insufficient.
2) y<2 again pick numbers: y=0 YES -2<y<1; y=-3NO -2<y<1 - Insufficient.
Together -1<y<2, again we realise the inequality -2<y<1 is not always true or always false. Insufficient.
Ans is E.
