Question

Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are

Answer 1

7 + 7 + x < 28
14 + x < 28
x < 14
The value of x is anything less than 14

Answer 2

The possible values of x are positive integers that are less than 14

The perimeter of a figure is the sum of all its sides.

A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,

perimeter  = 7 + 7 + x

perimeter < 28 feet

Therefore,

7 + 7 + x < 28

14 + x < 28

subtract 14 from both sides

14 - 14 + x < 28 - 14

x < 14

Therefore, the possible value of x are positive integers that are less than 14.

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