Question

Which conjunction or disjunction is equivalent to |t – 7| > 12?

A.
t – 7 > 12 or t – 7 < –12

B.
t – 7 < 12 and t – 7 > –12

C.
t – 7 < 12 or t – 7 > –12

D.
t – 7 > 12 and t – 7 < –12

Answer 1

@Alexandra675 @jbeanz97 @e.mccormick

Answer 2

For |x| = 1, it means x could be one of two things, -1 or 1. So you would solve it by saying:

x = 1
or
x = -1

The solve each one.

When we take the next harder case:
|x+a| = b

We do:
x+a=b
or
x+a=-b

The solve these to:
x=b-a or x=-b-a

You need to do something along those lines.

Answer 3

With an inequality, there is a little more to it. The answer might be above or below, or it might be between.