Question:|x-2|, if x > 5 simplify without the absolute value sign
1 answer:
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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Answer:
The slope is 2
Step-by-step explanation:
There's a theorem: So lets put that into our equation.
which also equals
Then, all we must do is divide the nominator from the denominator.
6/3 = 2
Therefore, the slope is 2!
I hope this helps!