Question

use vocabulary in writing
write an equation or inequality to represent the following situation: 17 is at least 5 more than 3 times x. explain how you wrote your equation or inequality. use vocabulary from topic 5 in your explanation.

Explanation:

Step1: Identify the relationship

The phrase "at least" means the value is greater than or equal to. "5 more than 3 times x" translates to \(3x + 5\).

Step2: Write the inequality

Since 17 is at least \(3x + 5\), we write the inequality as \(17\geq3x + 5\).

Answer:

The inequality representing the situation is \(17\geq3x + 5\). The phrase "at least" corresponds to the "greater than or equal to" (\(\geq\)) symbol. "5 more than 3 times x" is translated to the algebraic expression \(3x + 5\) (where we multiply \(x\) by 3 and then add 5). So we set 17 to be greater than or equal to this expression to represent "17 is at least 5 more than 3 times x".