Question

@mathstudent55
I don't understand how to do these kind of problems..

Answer 1

The second one is easy.

Answer 2

Ma'am can you show your working ?

Answer 3

Look at the left side. You are taking the square root of an expression.
Can the square root of an expression ever be negative?

Answer 4

Yes; but the whole finding if it's always or sometimes true is the part that's confusing.

Answer 5

Use the Order of Operations.

Answer 6

No.

Answer 7

That helps you solve the second one. In it, the square root of an expression equals -12. Can that ever happen?

Answer 8

Never true :)

Answer 9

Good.

Answer 10

Now let's look at the first one.

Answer 11

Solve the inequality.
Add 4 to both sides.

Answer 12

never true , it is also negative!

Answer 13

How do you know that?

Answer 14

because of the reasoning that you previously provided, since there's the -4 and the -2 it's never true..
-I feel like that question was to lead me to realize I'm wrong..?
@mathstudent55

Answer 15

Here's the second problem again.