What is 55<5x-5((x-11)/2)<= 110 ?

The solution to 55<5x-5((x-11)/2)<= 110 is 11<x<= 33

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55<5x-5((x-11)/2)<= 110

55 < 5 x - 5 (\frac{x - 11}{2}) \leq 110

11 < x \leq 33

Solution steps

55 < 5 x - 5 (\frac{x - 11}{2}) \leq 110

a < u \leq b

then

a < u and u \leq b

55 < 5 x - 5 (\frac{x - 11}{2}) and 5 x - 5 (\frac{x - 11}{2}) \leq 110

55 < 5 x - 5 \cdot \frac{x - 11}{2} : x > 11

5 x - 5 \cdot \frac{x - 11}{2} \leq 110 : x \leq 33

Combine the intervals

x > 11 and x \leq 33

Merge Overlapping Intervals

11 < x \leq 33

(x + 1)^{2} - 3 x \cdot (x + 2) = 3

\frac{6 m ^{4} n ^{7}}{12 m ^{5} n ^{- 8}}

3 + (- 4)

8^{- \frac{1}{2}} \cdot 8^{\frac{7}{6}}

2 x^{2} - 6 x + 2

What is 55<5x-5((x-11)/2)<= 110 ?
The solution to 55<5x-5((x-11)/2)<= 110 is 11<x<= 33