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Bunuel
What is the smallest possible value of |10 – x| − 4 ?

A. -4
B. 4
C. 6
D. 8
E. 14

To get a smallest possible value of |10 – x| − 4

Minimize |10-x| but it will be always positive, hence bring it to 0. Look at all ans options we have all positive except one.

Sub x=10 then -4

Hence A
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10-x has to be minimum possible value for the expression to be smallest. mode can't be <0 so minimum absolute value possible is 0 (when x =10) so.. expression is least = -4

A
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Mod is always positive

So min value under mod is zero

Minimum in equation is -4

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Ans: A
In the given question we can find the smallest value of the equation if we can find the smallest value of the | | and we know smallest value of | | is always 0.
so smallest value of equation is =0 - 4 = -4 Only.


Bunuel
What is the smallest possible value of |10 – x| − 4 ?
A. -4 B. 4 C. 6 D. 8 E. 14
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We need to find the the least possible value of |10 – x| − 4

We have Absolute value of a number -4 and we know that Least Absolute Value of a number = 0, as Absolute value of a number is always non-negative

So, we will look to make the Absolute value 0 so that we end up with a negative option of -4

=> |10 - x| = 0 (when x = 6)
=> | 10-x| - 4 = 0 - 4 = -4

So, Answer will be A
Hope it helps!

Watch the following video to MASTER Absolute Values

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