Question

1. the record for the most rolls of wrapping paper sold for the school fundraiser is 593. let w be the number of rolls of wrapping paper sold. tell if each inequality represents a number that would beat the school record.

	beats record	does not beat record
$w > 593$	$cancel{square}$	$square$
$w \leq 593$	$square$	$cancel{square}$
$593 < w$	$cancel{square}$	$square$

Explanation:

Step1: Analyze \( w = 593 \)

To beat the record (593), \( w \) must be greater than 593. If \( w = 593 \), it's equal to the record, so it does not beat the record.

Step2: Analyze \( w > 593 \)

If \( w \) is greater than 593, it means more rolls are sold than the record, so it beats the record.

Step3: Analyze \( w \leq 593 \)

\( w \leq 593 \) means \( w \) is less than or equal to 593. So it cannot be more than the record, hence does not beat the record.

Step4: Analyze \( 593 < w \)

This is the same as \( w > 593 \), so it means more rolls are sold than the record, so it beats the record.

Answer:

• \( w = 593 \): Does Not Beat Record (checked)
• \( w > 593 \): Beats Record (checked)
• \( w \leq 593 \): Does Not Beat Record (checked)
• \( 593 < w \): Beats Record (checked)

(The checkmarks in the table align with these conclusions: \( w = 593 \) → Does Not Beat Record; \( w > 593 \) → Beats Record; \( w \leq 593 \) → Does Not Beat Record; \( 593 < w \) → Beats Record)