Powell Garza
07/17/2023 · Middle School
STORE SIGNS In Randy's town, all stand-alone signs must be exactly 8 feet high. When mounted atop a pole, the combined height of the sign and pole must be less than 20 feet or greater than 35 feet so that they do not interfere with the power and phone lines. a. Write a compound inequality to represent the possible above-ground height of the poles, \( x \). b. Solve the inequality. Explain any restrictions. c. Graph the inequality.
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a. The compound inequality is \( 8 < x < 20 \text{ or } x > 35 \).
b. The solution is \( 8 < x < 20 \text{ or } x > 35 \).
c. The graph shows open circles at 8 and 20, and an arrow pointing to the right at 35.
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