Answer:
(a) [tex]1 > -2[/tex] or [tex]-2 < 1[/tex]
(b) [tex]2 > 1[/tex] or [tex]1 < 2[/tex]
Step-by-step explanation:
Given
[tex]N = -2F[/tex] --- North Dakota
[tex]C = 1F[/tex] --- Cheyenne, Wyoming
Solving (a): Inequality to compare both temperatures
From the given temperatures, we can conclude that:
[tex]C > N[/tex] or [tex]N < C[/tex]
Because
[tex]1 > -2[/tex] i.e. 1 is greater than -2
or
[tex]-2 < 1[/tex] i.e. -2 is less than 1
Solving (b): Inequality to compare the absolute values of the temperatures
We have:
[tex]N = -2F[/tex]
[tex]C = 1F[/tex]
The absolute values are:
[tex]|N| = |-2|[/tex]
[tex]|N| =2[/tex]
[tex]|C| = |1|[/tex]
[tex]|C| = 1[/tex]
By comparison:
[tex]|N| > |C|[/tex] or [tex]|C| < |N|[/tex]
Because
[tex]2 > 1[/tex] i.e. 2 is greater than 1
or
[tex]1 < 2[/tex] i.e. 1 is less than 2
