|2x-6|>10 — step-by-step solution

1) Let's solve in

ℝ

| 2 x - 6 | > 10

| A | > B

means that:

A > B

A < - B

2) Let's solve in

ℝ

2 x - 6 > 10

ⓘ We add

6

to both sides

2 x > 10 + 6

ⓘ Start from

10

and move forward

6

on the number line:

10 + 6

16

2 x > 16

ⓘ Both sides are divided by

2

x > \frac{16}{2}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{16}{2}

8

Solution found:

x > 8

3) Let's solve in

ℝ

2 x - 6 < -10