A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9 students have signed up for the pottery class. Let x represent how many more students need to sign up. Which inequality describes the problem? Choices: (A)9 + x 15 (B)9 + x ≥ 15 Solve the inequality. Then, complete the sentence to describe the solution. At least ____ more students need to sign up.

Question

A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9 students have signed up for the pottery class. Let x represent how many more students need to sign up. Which inequality describes the problem?   Choices: (A)9 + x > 15 (B)9 + x ≥ 15    Solve the inequality. Then, complete the sentence to describe the solution. At least ____ more students need to sign up.

Bytelearn · Accepted Answer

Define Variable:  Define the variable and set up the inequality. Let x be the number of additional students needed to sign up. The school requires at least 15 students in total, and 9 have already signed up. The inequality to represent this situation is 9 + x ≥ 15, as the class will be offered if the total meets or exceeds 15.Solve Inequality:  Solve the inequality. Subtract 9 from both sides of the inequality: 9 + x ≥ 15 x ≥ 15 - 9 x ≥ 6Interpret Solution:  Interpret the solution. The solution x ≥ 6 means that at least 6 more students need to sign up for the pottery class to meet the minimum requirement of 15 students.

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