Question

Solve each inequality​ analytically, writing the solution set in interval notation. Support your answer graphically.​ (Hint: Once part ​(a) is​ done, part ​(b) follows from the answer to part ​(a)​.) ​(a) 9−​(x+4​)<0 ​(b) 9−​(x+4​)≥0 Question content area bottom Part 1 ​(a) The solution set of 9−​(x+4​)<0 is enter your response here. ​(Type your answer in interval​ notation.)

Answer 1

Part (a)

$9-(x+4)<0 \\ \\ 9<x+4 \\ \\ 5<x \\ \\ \boxed{x \in (5, \infty)}$

Part (b)

$x \in (-\infty, 5]$