Bunuel wrote:
jlgdr wrote:
If x < 12, then it must be true that
(a) -x < -12
(b) -x - 2 < 14
(c) -x + 2 < -10
(d) x + 2 < 10
(e) x - 2 < 11
A. -x < -12 --> x>12. Not true.
B. -x - 2 < 14 --> x>-16. Not true, consider x=-20.
C. -x + 2 < -10 --> x>12. Not true.
D. x + 2 < 10 --> x<8. Not true, consider x=10.
E. x - 2 < 11 --> x<13. Since given that x<12, then x is for sure less than 13. Thus this statement must be true.
Answer: E.
x<12
A. x<12
-x>-12
B. x<12
-x>-12 , -x -2 > -14
C. -x + 2 > -10
D. x + 2 < 14
E. x < 12 , So, x must be <13. This statement must be true.
Answer E
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