107k views
5 votes
Which of the following inequalities best represents the statement "12 more than a number X is less than three times the number"?

A. 12 + X > 3X
B. X + 12 < 3X
C. 12X < 3X
D. X + 12 > 3X

User Jong
by
8.0k points

1 Answer

4 votes

Final answer:

The inequality that best represents the statement "12 more than a number X is less than three times the number" is X + 12 < 3X.

Step-by-step explanation:

The inequality that best represents the statement "12 more than a number X is less than three times the number" is option B. X + 12 < 3X.

To understand why, let's break down the statement. "12 more than a number X" can be represented as X + 12. "Is less than three times the number" can be represented as < 3X. Combining these two expressions, we get X + 12 < 3X, which matches option B.

For example, if X is 5, then 12 more than X is 17 (5 + 12), and three times the number is 15 (3 * 5). Since 17 is less than 15, the inequality X + 12 < 3X holds true.

User Avrohom
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories