Question

determine which graph represents the correct solution set to the inequality shown below. 3(6b - 1)>18 - 3b

Explanation:

Step1: Expand the left - hand side

$3(6b - 1)=18b-3$, so the inequality becomes $18b - 3>18 - 3b$.

Step2: Add $3b$ to both sides

$18b+3b - 3>18-3b + 3b$, which simplifies to $21b-3>18$.

Step3: Add 3 to both sides

$21b-3 + 3>18 + 3$, resulting in $21b>21$.

Step4: Divide both sides by 21

$\frac{21b}{21}>\frac{21}{21}$, so $b > 1$.

Answer:

The fourth option (the number - line with an open circle at 1 and the arrow pointing to the right)