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EXAMPLE 1. Write and graph an inequality. Death Valley. The highest temperature recorded in the United States was 134  F at Death Valley, California, in 1913 . Use only this fact to write and graph an inequality that describes the temperatures in the United States. SOLUTION.

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EXAMPLE 1

Write and graph an inequality

Death Valley

The highest temperature recorded in the United States was 134F at Death Valley, California, in 1913. Use only this fact to write and graph an inequality that describes the temperatures in the United States.

SOLUTION

Let Trepresent a temperature (in degrees Fahrenheit) in the United States. The value of Tmust be less than or equal to 134. So, an inequality is T 134.


a.

a.

The open circle means that –6.5 is not a solution of the inequality. Because the arrow points to the right, all numbers greater than –6.5 are solutions.

ANSWER

An inequality represented by the graph is x > –6.5.

EXAMPLE 2

Write inequalities from graphs

Write an inequality represented by the graph.

SOLUTION


b.

b.

The closed circle means that 4 is a solution of the inequality. Because the arrow points to the left, all numbers less than 4 are solutions.

ANSWER

An inequality represented by the graph is x  4.

EXAMPLE 2

Write inequalities from graphs

SOLUTION


ANSWER

x –129F

for Example 1 and 2

GUIDED PRACTICE

Antarctica

The lowest temperature recorded in Antarctica was –129F at the Russian Vostok station in 1983. Use only this fact to write and graph an inequality that describes the temperatures in the Antarctica.


ANSWER

x<8

for Examples 1 and 2

GUIDED PRACTICE

Write an inequality represented by the graph.


ANSWER

x –2.5

for Example 1 and 2

GUIDED PRACTICE

Write an inequality represented by the graph.


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