Home » » Solve the inequality 1 - 2x < - $$\frac{1}{3}$$.

# Solve the inequality 1 - 2x < - $$\frac{1}{3}$$.

### Question

Solve the inequality 1 - 2x < - $$\frac{1}{3}$$.

### Options

A) x < $$\frac{2}{3}$$

B) x < -$$\frac{2}{3}$$

C) x > $$\frac{2}{3}$$

D) x > -$$\frac{2}{3}$$

### Explanation:

1 - 2x < - $$\frac{1}{3}$$; -2x < -$$\frac{1}{3}$$ - 1

-2x < - $$\frac{1- 3}{3}$$

-2x < - $$\frac{4}{-6}$$

3x -2x < -4; -8x < -4

x > -$$\frac{4}{-6}$$ = x > $$\frac{2}{3}$$

## Dicussion (1)

• 1 - 2x < - $$\frac{1}{3}$$; -2x < -$$\frac{1}{3}$$ - 1

-2x < - $$\frac{1- 3}{3}$$

-2x < - $$\frac{4}{-6}$$

3x -2x < -4; -8x < -4

x > -$$\frac{4}{-6}$$ = x > $$\frac{2}{3}$$