What are the steps to solving the inequality 3b + 8 ≥ 14? Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the inequality by 3. Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the inequality.
Mathematics · College · Thu Feb 04 2021
Answered on
Given:
3b + 8 ≥ 14
Solve the inequality.
Solution:
In order to solve the inequality, we first transpose 8 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
3b + 8 ≥ 14
3b ≥ 14 - 8
3b ≥ 6
The next step is to divide both sides of the equation by 3. This will cancel out 3b, leaving behind b.
3b/3 ≥ 6/3
b ≥ 2
Final answer:
b ≥ 2