SOLUTION: 1.On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour. Which compound inequality represents the situation. a. 2

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If the minimum speed is 20 mph, then you must go 20 mph or faster. So mathematically, this looks like . Also, if the maximum speed is 50 mph, then the upper limit is 50. So mathematically, this looks like .


So we have these two inequalities

and

Rearrange to get


Now we can combine and to get


So our answer is C




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# 2

The statement "that are less than 4" translates to and the statement "greater than 9" translates to


So together we have


or


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# 3



Start with the given inequality



Distribute


Combine like terms on the left side


Subtract 32 from both sides


Combine like terms on the right side


Divide both sides by -1 to isolate a (note: Remember, dividing both sides by a negative number flips the inequality sign)



Divide

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Answer:
So our answer is