Question

What is another way to write the absolute value inequality

Answer 1

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!!