Solve 13.9+0.8xgeq0.3x-6.2

$$13.9 + 0.8 x \geq 0.3 x - 6.2$$

Solve for x

$$x\geq -40.2$$

Solution Steps

Subtract 0.3x from both sides.

$$13.9+0.8x-0.3x\geq -6.2$$

Combine 0.8x and -0.3x to get 0.5x.

$$13.9+0.5x\geq -6.2$$

Subtract 13.9 from both sides.

$$0.5x\geq -6.2-13.9$$

Subtract 13.9 from -6.2 to get -20.1.

$$0.5x\geq -20.1$$

Divide both sides by 0.5. Since 0.5 is positive, the inequality direction remains the same.

$$x\geq \frac{-20.1}{0.5}$$

Expand \frac{-20.1}{0.5} by multiplying both numerator and the denominator by 10.

$$x\geq \frac{-201}{5}$$

Fraction \frac{-201}{5} can be rewritten as -\frac{201}{5} by extracting the negative sign.

$$x\geq -\frac{201}{5}$$