Question

compare positive and negative numbers.
1 look at the two model its. how can you use a number line to help you write an inequality?
2 look at analyze it. how can the inequalities help to determine which of two temperatures is warmer?
3 use the symbol < to rewrite the comparison between -3.5°f and 2.5°f. then interpret the meaning of the inequality using the words colder than.

Explanation:

Question 3

Step1: Recall number line order

On a number line, negative numbers are left of zero, positive right. Smaller numbers (more negative or less positive) are left. So \(-3.5\) is left of \(2.5\), meaning \(-3.5 < 2.5\).

Step2: Interpret with "colder than"

A lower temperature (more negative or smaller positive) is colder. Since \(-3.5 < 2.5\), \(-3.5^\circ\text{F}\) is colder than \(2.5^\circ\text{F}\).

Answer:

The inequality is \(-3.5^\circ\text{F} < 2.5^\circ\text{F}\), meaning \(-3.5^\circ\text{F}\) is colder than \(2.5^\circ\text{F}\).