Solve 0.57+0.35xleq0.45x

$$0.57 + 0.35 x \leq 0.45 x$$

Solve for x

$$x\geq 5.7$$

Solution Steps

Subtract 0.45x from both sides.

$$0.57+0.35x-0.45x\leq 0$$

Combine 0.35x and -0.45x to get -0.1x.

$$0.57-0.1x\leq 0$$

Subtract 0.57 from both sides. Anything subtracted from zero gives its negation.

$$-0.1x\leq -0.57$$

Divide both sides by -0.1. Since -0.1 is negative, the inequality direction is changed.

$$x\geq \frac{-0.57}{-0.1}$$

Expand \frac{-0.57}{-0.1} by multiplying both numerator and the denominator by 100.

$$x\geq \frac{-57}{-10}$$

Fraction \frac{-57}{-10} can be simplified to \frac{57}{10} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{57}{10}$$