If the sides of a triangle have measures 3x + 4, 6x – 1 and 8x + 2, find all possible values of x.
a)
x > -4/3
b)
0 < x < 1/6
c)
1/6 < x < 3/11
d)
x > 0

Step-by-step explanation:

If a, b and c are three sides of a triangle, then

In your case,

Thus,

1.

2.

3.

Thus,

Note that a>0, b>0 and c>0, so

1.

2.

3.

Thus,

As result,

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step-by-step explanation:

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