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The sum of three lengths of a fence rages from 31 to 40 inches. Two side lengths are 9 and 12 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

The sum of three lengths of a fence rages from 31 to 40 inches Two side lengths are 9 and 12 inches If the length of the third side is x inches write and solve class=


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rvkacademic

Answer:

10 ≤ x ≤ 19

Step-by-step explanation

The sum of the three lengths is 9 + 12 +x =  21 + x

We know the sum ranges from 31 to 40

So we get the inequality

31 ≤ 21 + x ≤  40

Subtracting 21 from each part of this inequality give

31-21 ≤ x ≤40-21

10 ≤ x ≤ 19

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