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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
The volume of a cylinder is given by
where is the base area, and
is the height.
We are already given the height, which is 10.
We can deduce the base area since we are given a diameter: the radius is half the diameter, so it's 8, and the area of a circle is given by
So, the volume is