Solve 0.3(-10x+6)leq-4.8+3.6x

$$0.3 ( - 10 x + 6 ) \leq - 4.8 + 3.6 x$$

Solve for x

$$x\geq 1$$

Solution Steps

Use the distributive property to multiply 0.3 by -10x+6.

$$-3x+1.8\leq -4.8+3.6x$$

Subtract 3.6x from both sides.

$$-3x+1.8-3.6x\leq -4.8$$

Combine -3x and -3.6x to get -6.6x.

$$-6.6x+1.8\leq -4.8$$

Subtract 1.8 from both sides.

$$-6.6x\leq -4.8-1.8$$

Subtract 1.8 from -4.8 to get -6.6.

$$-6.6x\leq -6.6$$

Divide both sides by -6.6. Since -6.6 is negative, the inequality direction is changed.

$$x\geq \frac{-6.6}{-6.6}$$

Divide -6.6 by -6.6 to get 1.

$$x\geq 1$$