The basketball team needs to score at least 420 points this season to set a new school record. So far it has scored 82 points. Which inequality represents the number of points that need to be scored to set a record?

total points is greater than or equal to 420

... 82 have already been scored
... p = points still needed

p + 82 ≥ 420

To represent the number of points that need to be scored to set a record, we can use an inequality. Let's assume the number of points needed to set a record is represented by 'x'.

Given that the basketball team has already scored 82 points, we need to find an inequality that represents the number of additional points required to reach or exceed 420 points.

The inequality can be written as:

82 + x ≥ 420

This inequality states that the sum of the current 82 points and the additional points (represented by 'x') must be greater than or equal to 420 in order to set a new school record.