The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
The given parameters are
Range = 45 to 60 inches
Sides = 9, 18 and x
The sum of the three sides is
Sum = 9 + 18 + x
Evaluate
Sum = 27 + x
Recall that
Range = 47 to 60 inches
So, we have
45 ≤ 27 + x ≤ 60
Subtract through by 27
So, we have
18 ≤ x ≤ 33
Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
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