Identify the values of 𝑥 satisfying both |𝑥−9|< 8 and |𝑥−11|< 7

Question

Identify the values of 𝑥 satisfying both |𝑥−9|< 8 and |𝑥−11|< 7

(Give your answer as an interval in the form (*,*). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)

Answer 1

1st inequality: 1<x<17

2nd inequality 4<x<18

together, 4<x<17

Answer 2