Solve the Absolute Value Inequality for x |3x-4|+2=1

$| 3 x - 4 | + 2 = 1$

Move all terms not containing $| 3 x - 4 |$ to the right side of the equation.

Subtract $2$ from both sides of the equation.

$| 3 x - 4 | = 1 - 2$

Subtract $2$ from $1$ .

$| 3 x - 4 | = - 1$

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution