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dolphi86 [110]
2 years ago
11

Question:|x-2|, if x > 5 simplify without the absolute value sign

Mathematics
1 answer:
nikitadnepr [17]2 years ago
5 0

Answer:

x - 2, if x > 5

Step-by-step explanation:

The vertical lines either side of the expression mean absolute value.

The absolute value of a number is its <u>positive numerical value</u>.

if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive.  Therefore, we can disregard the absolute value.

Therefore:  

x - 2,  if x > 5

To find the range (output values) of the expression, substitute x = 5 into the expression:

⇒ 5 - 2 = 3

Therefore, |x - 2| > 3,  if x > 5

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