|6x|>7 — step-by-step solution

Let's solve in

ℝ

| 6 x | > 7

| A | > B

means that:

A > B

A < - B

Let's solve in

ℝ

6 x > 7

ⓘ Both sides are divided by

6

Solution found:

x > \frac{7}{6}

Let's solve in

ℝ

6 x < -7

ⓘ Both sides are divided by

6

Solution obtained:

x < - \frac{7}{6}

▶Solution:

x \in (-∞, - \frac{7}{6}) \cup (\frac{7}{6}, +∞)

The numeric value of:

x \in (-∞, - \frac{7}{6}) \cup (\frac{7}{6}, +∞)

is:

▷

x \in (-∞, \approx -1.1667) \cup (\approx 1.1667, +∞)