sandy wrote:
X is the set of all integers n that satisfy the inequality \(2 \leq |n| \leq 5.\)
Quantity A |
Quantity B |
The absolute value of the greatest integer in X |
The absolute value of the least integer in X |
We're told that n is an INTEGER
Given: 2 ≤ |n| ≤ 5
First recognize that
n = 2, n = 3, n = 4 and n = 5 all satisfy the given inequality.
Next notice that some NEGATIVE values work too.
For example, |-2| = 2, so it's true that 2 ≤ |-2| ≤ 5. So,
x = -2 is a possible solution
Likewise, |-3| = 3, so it's true that 2 ≤ |-3| ≤ 5. So,
x = -3 is a possible solution
And |-4| = 4, so it's true that 2 ≤ |-4| ≤ 5. So,
x = -4 is a possible solution
And |-5| = 5, so it's true that 2 ≤ |-5| ≤ 5. So,
x = -5 is a possible solution
Set X = {
-5, -4, -3, -2, 2, 3, 4, 5}
Quantity A: The absolute value of the greatest integer in X
Quantity B: The absolute value of the least integer in X
The GREATEST integer =
5The LEAST integer =
-5So, we get:
Quantity A: |
5|
Quantity B: |
-5|
Evaluate to get:
Quantity A: 5
Quantity B: 5
Answer:
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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