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

7.
`(1)/(2)+(1)/(3)>(1)/(5)`

8.
`0.1+0.15>0.2`

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
`(1)/(2), (1)/(3)\ and\ (1)/(5)`

`(1)/(2)+(1)/(3)>(1)/(5)`

`(5)/(6)>(1)/(5)`

So, its satisfy the triangle rule.

Therefore, Inequality is
`(1)/(2)+(1)/(3)>(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`