Answered

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In January. The temperature in Fargo, North Dakota is -2 F. On the same day, the temperature in Cheyenne, Wyoming was 1 F. Write an inequality to compare the temperatures and then write an inequality to compare the absolute values of the temperatures.

Sagot :

MrRoyal

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

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