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Sagot :
The number m has the ability to make the inequality true = -8
What is an inequality ?
In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
Inequalities which are commonly used are as follows :
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The integer that will make the inequality true is m = -8
(1/4)(m - 4) ≤ (1/8)(m - 16)
1/4 x -12 ≤ 1/8 x -24
-3 ≤ -3
According to the given information
We have,
One-fourth times the difference between m and four is less than or equal to one-eighth times the difference between m and sixteen
This can be written as,
(1/4)(m - 4) ≤ (1/8)(m - 16)
The value at which the inequality will be true.
S = {−32, −8, 16, 32}
We will check each value.
m = -32
1/4 x -36 ≤ 1/8 x -48
-9 ≤ -4
Not true
m= -8
1/4 x -12 ≤ 1/8 x -24
-3 ≤ -3
True
m = 16
1/4 x 12 ≤ 1/8 x 0
3 ≤ 0
Not true
m = 32
1/4 x 28 ≤ 1/8 x 16
7 ≤ 2
Not true
Thus,
The number m has the ability to make the inequality true = -8
(1/4)(m - 4) ≤ (1/8)(m - 16)
1/4 x -12 ≤ 1/8 x -24
-3 ≤ -3
To know more about inequalities here:
https://brainly.com/question/28823603
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