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What is the smallest possible whole-number value of x?
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What is the smallest possible whole-number value of x?

What is the smallest possible whole-number value of x?-example-1
User Amos Egel
by
6.5k points

1 Answer

4 votes

Answer:

6

Explanation:

We know:

If a ≤ b ≤ c are the sides of a triangle, then a + b > c.

We have a = x, b = 2x and c = 15 cm.

Therefore x ≤ 15 and 2x ≤ 15 ⇒ x ≤ 7.5

Therefore we have the inequality:

x + 2x > 15

3x > 15 divide both sides by 3

x > 5 and x ≤ 7.5

Finally x = 6

User Singer
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7.5k points
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