4<=abs(2x-8) — step-by-step solution

Let's solve in

ℝ

abs (2 x - 8) => 4

abs (A) => B

is equivalent to:

A => B

A <= - B

Let's solve in

ℝ

2 x - 8 => 4

2 x => 4 + 8

2 x => 12

This expression can be factorized into:

2 \cdot (x - 6) => 0

Let's solve:

x - 6 => 0

Solution found:

x => 6

Let's solve in

ℝ

2 x - 8 <= -4

2 x <= - 4 + 8

2 x <= 4

You can factorize this expression into:

2 \cdot (x - 2) <= 0

Let's solve:

x - 2 <= 0

Solution found:

x <= 2

▶Solution:

x \in (-∞, 2] \cup [6, +∞)