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EXAMPLE 1

Write and graph an inequality

Death Valley

The highest temperature recorded in the United States was 134F 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

x –129F

for Example 1 and 2

GUIDED PRACTICE

Antarctica

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

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