Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Which answers are elements of the solution set of the inequality? Check all that apply.

[tex] x - 46 \geq -79 [/tex]

A. -25
B. -39
C. -33
D. -45
E. 14
F. 25

To solve the inequality [tex]$x - 46 \geq -79$[/tex], follow these steps:

1. Isolate [tex]$x$[/tex]: To get [tex]$x$[/tex] by itself, you need to add 46 to both sides of the inequality.
[tex]\[
x - 46 + 46 \geq -79 + 46
\][/tex]

2. Simplify the inequality:
[tex]\[
x \geq -33
\][/tex]

Now, you need to check which given options satisfy this inequality [tex]$x \geq -33$[/tex]. Let's go through each option:

- A. [tex]$-25$[/tex]:
[tex]\[
-25 \geq -33 \quad \text{(True)}
\][/tex]

- B. [tex]$-39$[/tex]:
[tex]\[
-39 \geq -33 \quad \text{(False)}
\][/tex]

- C. [tex]$-33$[/tex]:
[tex]\[
-33 \geq -33 \quad \text{(True)}
\][/tex]

- D. [tex]$-45$[/tex]:
[tex]\[
-45 \geq -33 \quad \text{(False)}
\][/tex]

- E. [tex]$14$[/tex]:
[tex]\[
14 \geq -33 \quad \text{(True)}
\][/tex]

- F. [tex]$25$[/tex]:
[tex]\[
25 \geq -33 \quad \text{(True)}
\][/tex]

So, the elements of the solution set for the inequality [tex]$x - 46 \geq -79$[/tex] that satisfy the condition [tex]$x \geq -33$[/tex] are: A (-25), C (-33), E (14), and F (25).