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If x < 12, then it must be true that

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If x < 12, then it must be true that [#permalink]

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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
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Re: If x < 12, then it must be true that [#permalink]

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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.
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Re: If x < 12, then it must be true that [#permalink]

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New post 15 Apr 2015, 09:54
Hi Bunuel,

x<12

From E,we get x<13 ,what if x is 12 .This contradicts the question x<12 right ?

Please clarify

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Re: If x < 12, then it must be true that [#permalink]

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New post 15 Apr 2015, 10:06
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janani28 wrote:
Hi Bunuel,

x<12

From E,we get x<13 ,what if x is 12 .This contradicts the question x<12 right ?

Please clarify


It's the other way around. We are told that x is less than 12 (it's given as a fact) and asked which of the options is true. Since x is less than 12, then it must be less than 13 too.
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Re: If x < 12, then it must be true that [#permalink]

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New post 08 Oct 2017, 12:24
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



E wil always hold true.
But so will B???

if x=10, -12 <14 true.
if x=0, -2<14 true
if x=5, -7<14 true

Can someone pls explain where I am going wrong.

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Re: If x < 12, then it must be true that [#permalink]

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New post 08 Oct 2017, 21:22
doeadoer 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



E wil always hold true.
But so will B???

if x=10, -12 <14 true.
if x=0, -2<14 true
if x=5, -7<14 true

Can someone pls explain where I am going wrong.


B gives: x > -16. If x is less than -16, B won't be right. For example, if x = -100 < 12, then B is not true.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If x < 12, then it must be true that [#permalink]

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New post 09 Oct 2017, 00:15
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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Re: If x < 12, then it must be true that   [#permalink] 09 Oct 2017, 00:15
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