Solve |x 1|=1-x - ScanMath

Evaluate

∣ x \times 1 ∣ = 1 - x

Any expression multiplied by 1 remains the same

∣ x ∣ = 1 - x

Rewrite the expression

∣ x ∣ - 1 + x = 0

Separate the equation into 2 possible cases

x - 1 + x = 0, x \geq 0 - x - 1 + x = 0, x < 0

Solve the equation

More Steps

x = \frac{1}{2}, x \geq 0 - x - 1 + x = 0, x < 0

The statement is false for any value of x

More Steps

x = \frac{1}{2}, x \geq 0 x \in \emptyset, x < 0

Find the intersection

x = \frac{1}{2} x \in \emptyset, x < 0

Find the intersection

x = \frac{1}{2} x \in \emptyset

Solution

x = \frac{1}{2}

Alternative Form

x = 0.5

Solve the equation