Question

100 points! Algebra question, photo attached. Please show as much work as possible. Thank you!

Answer 1

Given:

`√(z+5)+4\leq 13`

Move 4 to the right side:

`√(z+5)\leq 9`

Simplify

`z+5 \leq 81`

Move 5 to the right side:

`z\leq 76`

Find singularity points

Find non-negative values for radicals:
`z\geq -5`

Combine the intervals

`z\leq 76 \ \text{and} \ z\geq -5`

Merge overlapping intervals

`-5\leq z\leq 76`

Answer:

• 
  `\longrightarrow \boxed{\bold{-5\leq z\leq 76}}`