Which inequality would have a true statement if 5 is substituted for b: 5b + 2 ≥ 12?

To determine if substituting 5 for b in the inequality (5b + 2 ≥ 12) results in a true statement, start by replacing b with 5.

You will have:

[

5(5) + 2 ≥ 12

]

Calculating this gives:

[

25 + 2 ≥ 12

]

This simplifies to:

[

27 ≥ 12

]

Since 27 is indeed greater than 12, the statement is true. Therefore, substituting 5 for b confirms that the inequality holds, making the correct answer valid. This understanding is crucial for solving inequalities in algebra, as it emphasizes the importance of correctly substituting values and evaluating whether the conditions specified by the inequality are met.