QuestionGraph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: or .
Studdy Solution
STEP 1
Assumptions1. The elevator's full speed range is between116 and124 feet per minute. . We need to graph an inequality that represents the speeds at which the elevator is outside of this range.
STEP 2
To represent the speeds outside of the elevator's full speed range, we need to form two inequalities. One for the speeds less than116 feet per minute and another for the speeds greater than124 feet per minute.
STEP 3
To graph these inequalities on a number line, we first mark the points116 and124 on the number line.
STEP 4
Next, we shade the regions of the number line that represent the solutions to our inequalities. For , we shade the region to the left of116. For , we shade the region to the right of124.
STEP 5
We use open circles at116 and124 to indicate that these points are not included in the solutions to our inequalities (since the elevator is not outside of its full speed range at these speeds).
The graph of the inequality that represents the speeds at which the elevator is outside of its full speed range is now complete.
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