If x is greater than 100 then /x-100/ a) x-100. b)100-x. c) x+100. d) 100
Answers
Answer:
If x is greater than 100, then |x-100| is equal to a) x-100
Explanation:
It is given that x>100.
We have to find the value of |x-100|.
We know that the modulus sign always gives a positive result. So, when we remove the modulus, we get two values, i.e., positive and negative.
|x-100| = (x-100) OR -(x-100)
Since x is greater than 100, the difference of x-100 will be a positive number.
(x-100) will give a positive result as x is greater than 100.
-(x-100) = 100-x will give a negative result.
Therefore, x-100 will be equal to |x-100|.
Explanation for incorrect options:
b)100-x
100-x will give a negative result as 100 is less than x.
c) x+100
x+100 will give a positive result but it will give the sum instead of the difference.
d) 100
We have to find the value of |x-100|.
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