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:

  • x-9=6.5, in which case x=15.5, or
  • x-9=-6.5. in which case x=2.5

Because you’re asked for the minimum value of x, 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.

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