Question

the low temperature on monday is $-5^{circ}\text{f}$. the low temperature on tuesday is $-13^{circ}\text{f}$.

part a
enter an inequality that compares $-5$ and $-13$.

part b
explain what the inequality you wrote in part a represents.

Explanation:

Part A

Step1: Recall negative number comparison

For negative numbers, the one with the smaller absolute value is greater. The absolute value of \(-5\) is \(|-5| = 5\), and the absolute value of \(-13\) is \(|-13| = 13\). Since \(5 < 13\), we have \(-5 > -13\).

The inequality \(-5 > -13\) represents that the low temperature on Monday (\(-5^{\circ}\text{F}\)) is greater than (warmer than) the low temperature on Tuesday (\(-13^{\circ}\text{F}\)). In terms of negative numbers, a number closer to zero (with a smaller absolute value) is greater, so \(-5\) is greater than \(-13\), meaning Monday's low temperature is warmer than Tuesday's.

Answer:

\(-5 > -13\)

Part B