The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.

9 ≤ x ≤ 18
18 ≤ x ≤ 33
36 ≤ x ≤ 42
45 ≤ x ≤ 60

Respuesta :

The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33

How to write and solve a compound inequality to show the possible lengths of the third side?

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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