Solve 9.2leq-9-w

$$9.2 \leq - 9 - w$$

Solve for w

$$w\leq -18.2$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-9-w\geq 9.2$$

Add 9 to both sides.

$$-w\geq 9.2+9$$

Add 9.2 and 9 to get 18.2.

$$-w\geq 18.2$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$w\leq \frac{18.2}{-1}$$

Expand \frac{18.2}{-1} by multiplying both numerator and the denominator by 10.

$$w\leq \frac{182}{-10}$$

Reduce the fraction \frac{182}{-10} to lowest terms by extracting and canceling out 2.

$$w\leq -\frac{91}{5}$$