What is 50<5x-5((x-10)/2)<= 100 ?

The solution to 50<5x-5((x-10)/2)<= 100 is 10<x<= 30

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50<5x-5((x-10)/2)<= 100

50 < 5 x - 5 (\frac{x - 10}{2}) \leq 100

10 < x \leq 30

Interval Notation

(10, 30]

Solution steps

50 < 5 x - 5 (\frac{x - 10}{2}) \leq 100

a < u \leq b

then

a < u and u \leq b

50 < 5 x - 5 (\frac{x - 10}{2}) and 5 x - 5 (\frac{x - 10}{2}) \leq 100

50 < 5 x - 5 \cdot \frac{x - 10}{2} : x > 10

5 x - 5 \cdot \frac{x - 10}{2} \leq 100 : x \leq 30

Combine the intervals

x > 10 and x \leq 30

Merge Overlapping Intervals

10 < x \leq 30

16 n^{8} - 24 n^{4} p - 7 p^{2}

a^{2} - 10 a + 5 = - 4

q^{\frac{3}{2}}

42 a^{4} b^{6}

What is 50<5x-5((x-10)/2)<= 100 ?
The solution to 50<5x-5((x-10)/2)<= 100 is 10<x<= 30