The range of x ix -4 < x ≤ 7
What is Inequality ?
Inequalities are when two mathematical expression cannot be equated by an equal sign, while inequality operators like greater than, greater than or equal to, less than, or less than or equal to are being used to connect them.
The inequality given in the question is
x −10 ≤ −5x+25 <45
Subtracting 25 on all sides
x- 10-25 ≤ −5x+25-25 <45-25
x-35 ≤ −5x < 20
Solving the first two inequality
x-35 ≤ −5x
6x ≤ 35
x ≤ 7
Now solving the second and third inequality
−5x < 20
5x >- 20
x > -4
Therefore the range of x ix -4 < x ≤ 7
To know more about Inequality
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