City L has a temperature of −3 °F. City M has a temperature of −7 °F.

Use the number line shown to answer the questions:

Number line from negative 8 to positive 8 in increments of 1 is shown.

Part A: Write an inequality to compare the temperatures of the two cities. (3 points)

Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points)

Part C: Use the number line to explain which city is warmer. (3 points)

Your answer:

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MrRoyal MrRoyal · Answer 1 · 2021-12-29T14:38:56+01:00

Inequalities are used to compare unequal values and expressions

The temperatures are given as:

[tex]L = -3^oF[/tex]

[tex]M = -7^oF[/tex]

(a) Compare the temperatures

Recall that the temperatures of the cities are:

[tex]L = -3^oF[/tex]

[tex]M = -7^oF[/tex]

-7 is less than -3.

So, the inequality that compares the temperatures of the cities is:

[tex]-7 < -3[/tex]

(b) Explain the inequality in (a)

As a general rule, lower values are placed to the left of a higher value on number lines

From the number line, we can see that -7 is to the left of -3.

Since -7 is placed at the left of -3, then it means that -7 is less than -3.

(c) The warmer city

The higher the temperature, the warmer the temperature.

This means that, city L is warmer than city M