|1-2x|>7 — step-by-step solution

⚠ 2x is read as the product 2*x: for a power, write 2^x

⚠ |1-2x| is read as the absolute value abs(1-2x)

Let's solve in

ℝ

abs (1 - 2 x) > 7

abs (A) > B

means that:

A > B

A < - B

Let's solve in

ℝ

1 - 2 x > 7

1 - 7 > 2 x

-6 > 2 x

x < - \frac{6}{2}

Solution obtained:

x < -3

Let's solve in

ℝ

1 - 2 x < -7

1 + 7 < 2 x

8 < 2 x

x > \frac{8}{2}

Solution found:

x > 4

▶Solution:

x \in (-∞, -3) \cup (4, +∞)