|w-4|>4 — step-by-step solution | Explain MAths

|w-4|>4

Let's solve in

ℝ

:

| w - 4 | > 4

| A | > B

is equivalent to:

A > B

or

A < - B

Let's solve in

ℝ

:

w - 4 > 4

ⓘ We add

4

to both sides

w > 4 + 4

ⓘ Start from

4

and move forward

4

on the number line:

4 + 4

=

8

Solution found:

w > 8

Let's solve in

ℝ

:

w - 4 < -4

ⓘ We add

4

to both sides

w < - 4 + 4

ⓘ Start from

-4

and move forward

4

on the number line, up to zero:

- 4 + 4

=

0

Solution found:

w < 0

▶Solution:

w \in (-∞, 0) \cup (8, +∞)