|x+2|>18 — step-by-step solution | Explain MAths

|x+2|>18

Let's solve in

ℝ

:

| x + 2 | > 18

| A | > B

means that:

A > B

or

A < - B

Let's solve in

ℝ

:

x + 2 > 18

ⓘ We subtract

2

from both sides

x > 18 - 2

ⓘ Start from

18

and move back

2

on the number line:

18 - 2

=

16

Solution found:

x > 16

Let's solve in

ℝ

:

x + 2 < -18

ⓘ We subtract

2

from both sides

x < - 18 - 2

ⓘ Start from

-18

and move back

2

more on the number line, away from zero:

- 18 - 2

=

-20

Solution obtained:

x < -20

▶Solution:

x \in (-∞, -20) \cup (16, +∞)