Question

the table gives the temperatures (in °f) of five cities at 6 a.m. on the same day. use the table to answer the questions. (a) compare the temperatures of city b and city c using <, >, or =. 21 -32 what is the meaning of the inequality above? ○ at 6 a.m., city b was warmer than city c. ○ at 6 a.m., city b was colder than city c. (b) compare the temperatures of city a and city d using <, >, or =. -17 -9 what is the meaning of the inequality above? ○ at 6 a.m., city a was warmer than city d. ○ at 6 a.m., city a was colder than city d.

Explanation:

Step1: Compare positive and negative numbers

Positive numbers are greater than negative numbers. Since \(21\) is positive and \(-32\) is negative, \(21>-32\). This means City B was warmer than City C.

Step2: Compare two negative numbers

When comparing two negative numbers, the one with the larger absolute value is smaller. \(\vert - 17\vert=17\) and \(\vert - 9\vert = 9\). Since \(17>9\), then \(-17<-9\). This means City A was colder than City D.

Answer:

(a) \(21 > - 32\), At 6 a.m., City B was warmer than City C.
(b) \(-17 < - 9\), At 6 a.m., City A was colder than City D.