Question

Use >, <, and + signs to write inequalities for the relationships among
the sides of the triangles. Show your work below the numbers.
7. 1/2 _______________1/3 _______________1/5

8. 0.1 _______________ 0.15 _______________ 0.2

Answer 1

Answer:

7. $\frac{1}{2}+\frac{1}{3}>\frac{1}{5}$

8. $0.1+0.15>0.2$

Step-by-step explanation:

Given:

Three sides of the triangles are given.

For Question 7

1/2 _ 1/3 _1/5

For Question 8

0.1 _ 0.15 _ 0.2

We need to use >, <, and + signs to write inequalities for the relationships among  the sides of the triangles.

Solution:

Part 7.

Property of the triangles.

Sum of two side of triangles must be greater than third side.

So, first, second and third side of the triangle is $\frac{1}{2}, \frac{1}{3}\ and\ \frac{1}{5}$

$\frac{1}{2}+\frac{1}{3}>\frac{1}{5}$

$\frac{5}{6}>\frac{1}{5}$

So, its satisfy the triangle rule.

Therefore, Inequality is $\frac{1}{2}+\frac{1}{3}>\frac{1}{5}$

Part 8.

Property of the triangles.

Sum of two side of triangles must be greater than third side.

So, first, second and third side of the triangle is $0.1, 0.15\ and\ 0.2$

$0.1+0.15>0.2$

$0.25>0.2$

So, its satisfy the triangle rule.

Therefore, Inequality is $0.1+0.15>0.2$