Solve 60a+64geq80a-92

$$60 a + 64 \geq 80 a - 92$$

Solve for a

$$a\leq \frac{39}{5}$$

Solution Steps

Subtract 80a from both sides.

$$60a+64-80a\geq -92$$

Combine 60a and -80a to get -20a.

$$-20a+64\geq -92$$

Subtract 64 from both sides.

$$-20a\geq -92-64$$

Subtract 64 from -92 to get -156.

$$-20a\geq -156$$

Divide both sides by -20. Since -20 is negative, the inequality direction is changed.

$$a\leq \frac{-156}{-20}$$

Reduce the fraction \frac{-156}{-20} to lowest terms by extracting and canceling out -4.

$$a\leq \frac{39}{5}$$