Answer:
absolute value its written as:
| expression | > x
*> written can also be < , ≥ , or ≤
| | (two vertical lines on both sides of something) indicate absolute value
(absolute value considers the space between a number and 0;
| x | = 3
then x could be = 3 or = -3
you can also think of anything inside | | to be written as positive;
| 3 | = 3
| -3 | = 3)
you could also right, from this example: | x | > 3
our value of x could either be greater than 3, or, our x-value is negative (and only the absolute value is greater than 3, meaning that negative -x, is greater than three)
we separate these possibilities into two expressions:
x > 3 - x > 3
· -1 · -1 {inequalities flip direction when multiply by negative}
x < -3
so, x > 3 and x < -3 can be combined:
x > 3 or x < 3
(graph of example attached)
hope this helps!!
