Question

What is the inequality for the average to be 78 or higher?

1) x ≥ 78
2) x > 78
3) x ≤ 78
4) x < 78

Answer 1

The inequality for the average to be 78 or higher is represented by x ≥ 78, which includes 78 and any number greater than 78.

Step-by-step explanation:

The question asks to identify the inequality representing the condition that the average must be 78 or higher. The correct inequality for this condition is x ≥ 78, which means that x (the average) is equal to 78 or greater than 78. As the question specifies '78 or higher', the inequality must include 78 itself, which eliminates options that suggest x is strictly greater than 78. This inequality, x ≥ 78, precisely reflects the criterion for an average meeting or exceeding 78, crucial in setting thresholds or benchmarks within mathematical contexts, ensuring precision in defining constraints for averages or other numerical evaluations.