|v+4|>= 4 — step-by-step solution | Explain MAths

|v+4|>= 4

Let's solve in

ℝ

:

| v + 4 | \geq 4

| A | \geq B

means that:

A \geq B

or

A \leq - B

Let's solve in

ℝ

:

v + 4 \geq 4

ⓘ We subtract

4

from both sides

v \geq 4 - 4

ⓘ Start from

4

and move back

4

on the number line, down to zero:

4 - 4

=

0

Solution obtained:

v \geq 0

Let's solve in

ℝ

:

v + 4 \leq -4

ⓘ We subtract

4

from both sides

v \leq - 4 - 4

ⓘ Start from

-4

and move back

4

more on the number line, away from zero:

- 4 - 4

=

-8

Solution obtained:

v \leq -8

▶Solution:

v \in (-∞, -8] \cup [0, +∞)