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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