Question

(a) compare the temperatures of city a and city e using <, >, or =. -28 16 what is the meaning of the inequality above? at 6 a.m., city e was warmer than city a. at 6 a.m., city e was colder than city a. (b) compare the temperatures of city b and city d using <, >, or =. -3 -31 what is the meaning of the inequality above? at 6 a.m., city b was warmer than city d. at 6 a.m., city b was colder than city d.

Explanation:

Step1: Compare -28 and 16

On the number line, negative numbers are less than positive numbers. So \(-28 < 16\).

Step2: Interpret the inequality

The inequality \(-28 < 16\) means that the temperature of City A (\(-28\)) is less than the temperature of City E (\(16\)). In terms of temperature, a lower number means colder. So City A is colder than City E, which implies City E is warmer than City A.

Step3: Compare -3 and -31

For negative numbers, the one with the larger absolute value is smaller. \(|-3| = 3\), \(|-31| = 31\), and \(3 < 31\), so \(-3 > -31\).

Step4: Interpret the inequality \(-3 > -31\)

The temperature of City B is \(-3\) and City D is \(-31\). Since \(-3 > -31\), a higher temperature value means warmer. So City B is warmer than City D.

Answer:

(a) \(-28 < 16\), meaning At 6 a.m., City E was warmer than City A.
(b) \(-3 > -31\), meaning At 6 a.m., City B was warmer than City D.