Question

what are the steps to solving the inequality $3b + 8 \ge 14$?\
\bigcirc\\; subtract 8 from both sides of the inequality. divide both sides of the inequality by 3.\
\bigcirc\\; subtract 8 from both sides of the inequality. change the direction of the inequality. divide both sides of the inequality by 3.\
\bigcirc\\; divide both sides of the inequality by 3. subtract 8 from both sides of the inequality.\
\bigcirc\\; divide both sides of the inequality by 3. change the direction of the inequality. subtract 8 from both sides of the inequality.

Explanation:

Step1: Isolate the term with $b$

Subtract 8 from both sides:
$3b + 8 - 8 \geq 14 - 8$
$3b \geq 6$

Step2: Solve for $b$

Divide both sides by 3 (positive number, no inequality flip):
$\frac{3b}{3} \geq \frac{6}{3}$
$b \geq 2$

Step3: Match to option

The steps match the first choice, as we only subtract 8 then divide by 3, no inequality direction change needed.

Answer:

Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.