can you please explain number 5 and 7 on Absolute Value

Sure thing. Here’s #5:

For this one, first subtract 1 to get the absolute value on one side by itself:

From there, you have two possibilities:

• , in which case , or
• . in which case

Because you’re asked for the minimum value of , you go with 2.5.

And here’s #7:

For this one, most people will choose just to try each choice until one doesn’t work. Once you get to one that doesn’t work, you’re done! I’ll start with A:

Choice A is true–let’s try choice B:

Obviously that’s NOT true, so B is the answer.