Solve and give your answer in interval notation

Question

Solve t give your answer in interval notation

−6/11 ≤2(𝑥−5)/7 <79

Answer 1

-6/11<2(x-5)/7<79

multiply by 7

-42/11< 2x-10< 79(7)

add 10

-42/11+10< 2x <553+10

divide by 2

-21/11+5<x<563/2

simplify

34/11<x<281.5

[34/11, 281.5)

Answer 2