Question

solve the following inequality for g. write your answer in simplest form.
5g + 1 < -4g + 8

Explanation:

Step1: Add $4g$ to both sides

$5g + 1 + 4g < -4g + 8 + 4g$
$9g + 1 < 8$

Step2: Subtract 1 from both sides

$9g + 1 - 1 < 8 - 1$
$9g < 7$

Step3: Divide by 9

$\frac{9g}{9} < \frac{7}{9}$
$g < \frac{7}{9}$

Answer:

$g < \frac{7}{9}$