Solve (-28x+1.12(80-x)leq95

$$( - 28 x + 1.12 ( 80 - x ) \leq 95$$

Solve for x

$$x\geq -\frac{135}{728}$$

Solution Steps

Use the distributive property to multiply 1.12 by 80-x.

$$-28x+89.6-1.12x\leq 95$$

Combine -28x and -1.12x to get -29.12x.

$$-29.12x+89.6\leq 95$$

Subtract 89.6 from both sides.

$$-29.12x\leq 95-89.6$$

Subtract 89.6 from 95 to get 5.4.

$$-29.12x\leq 5.4$$

Divide both sides by -29.12. Since -29.12 is negative, the inequality direction is changed.

$$x\geq \frac{5.4}{-29.12}$$

Expand \frac{5.4}{-29.12} by multiplying both numerator and the denominator by 100.

$$x\geq \frac{540}{-2912}$$

Reduce the fraction \frac{540}{-2912} to lowest terms by extracting and canceling out 4.

$$x\geq -\frac{135}{728}$$