Question

solve the inequality and graph the solution.
4(g - 6) < 8
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
← -10 -8 -6 -4 -2 0 2 4

Explanation:

Step1: Expand the left - hand side

$4(g - 6)=4g-24$, so the inequality becomes $4g - 24<8$.

Step2: Add 24 to both sides

$4g-24 + 24<8 + 24$, which simplifies to $4g<32$.

Step3: Divide both sides by 4

$\frac{4g}{4}<\frac{32}{4}$, resulting in $g < 8$.

Answer:

The solution of the inequality is $g < 8$. On the number - line, we plot an open circle at 8 (since the inequality is strict, $g$ cannot equal 8) and draw a ray to the left of 8.