Answer:
[tex]3 > b[/tex]
Step-by-step explanation:
Given
[tex]a = 1[/tex]
[tex]c = 2[/tex]
Required
Inequality to measure the length of b
The triangle inequality theorem states that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
On side b, we make use of:
[tex]a + c > b[/tex]
Substitute values for a ad c
[tex]1 + 2 > b[/tex]
[tex]3 > b[/tex]
The inequality is: [tex]3 > b[/tex]
