Solve 109-18a/11>0

$$\frac { 109 - 18 a } { 11 } > 0$$

Solve for a

$$a<\frac{109}{18}$$

Solution Steps

Multiply both sides by 11. Since 11 is positive, the inequality direction remains the same. Anything times zero gives zero.

$$109-18a>0$$

Subtract 109 from both sides. Anything subtracted from zero gives its negation.

$$-18a>-109$$

Divide both sides by -18. Since -18 is negative, the inequality direction is changed.

$$a<\frac{-109}{-18}$$

Fraction \frac{-109}{-18} can be simplified to \frac{109}{18} by removing the negative sign from both the numerator and the denominator.

$$a<\frac{109}{18}$$