Solve 14w-8w-5.4geq7.3-10

$$14w-8w-5.4 \geq 7.3-10$$

Solve for w

$$w\geq \frac{9}{20}$$

Solution Steps

Combine 14w and -8w to get 6w.

$$6w-5.4\geq 7.3-10$$

Subtract 10 from 7.3 to get -2.7.

$$6w-5.4\geq -2.7$$

Add 5.4 to both sides.

$$6w\geq -2.7+5.4$$

Add -2.7 and 5.4 to get 2.7.

$$6w\geq 2.7$$

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

$$w\geq \frac{2.7}{6}$$

Expand \frac{2.7}{6} by multiplying both numerator and the denominator by 10.

$$w\geq \frac{27}{60}$$

Reduce the fraction \frac{27}{60} to lowest terms by extracting and canceling out 3.

$$w\geq \frac{9}{20}$$