What is 30<3x-3((x-10)/2)<= 60 ?

The solution to 30<3x-3((x-10)/2)<= 60 is 10<x<= 30

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30<3x-3((x-10)/2)<= 60

30 < 3 x - 3 (\frac{x - 10}{2}) \leq 60

10 < x \leq 30

Interval Notation

(10, 30]

Solution steps

30 < 3 x - 3 (\frac{x - 10}{2}) \leq 60

a < u \leq b

then

a < u and u \leq b

30 < 3 x - 3 (\frac{x - 10}{2}) and 3 x - 3 (\frac{x - 10}{2}) \leq 60

30 < 3 x - 3 \cdot \frac{x - 10}{2} : x > 10

3 x - 3 \cdot \frac{x - 10}{2} \leq 60 : x \leq 30

Combine the intervals

x > 10 and x \leq 30

Merge Overlapping Intervals

10 < x \leq 30

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What is 30<3x-3((x-10)/2)<= 60 ?
The solution to 30<3x-3((x-10)/2)<= 60 is 10<x<= 30