Math problems help please?

Question

1) Use both inquality and interval notation to describe the set of numbers.

Salary raises at the State University of California at Chico will average between 2% and 6.5%.


2) Rewrite the expression without using absolute value symbols.

| (square root)5 - 5/2 |


3) Replace O with <,=,> to make the statement true.

-|-5| O |-5|

These are the problems I'm really stuck on. Please help! Will give best answer.

Answer 1

1) Inequality: 0.02 <= x <= 0.065
Interval: x ∈ [0.02, 0.065]

2) Note that √5 < 5/2, so √5 - 5/2 is negative.
So |√5 - 5/2| = -(√5 - 5/2)
= 5/2 - √5.

3) |-5| = 5, so the statement is saying
-5 O 5
Clearly the correct replacement for O is <.