Answer:
1. Using Backwards Method, we get,
We have the inequality 2n+5<13.
So, we subtract both the sides by 5,
i.e. 2n+5-5<13-5
i.e. 2n < 8
Now, divide both sides by 2, we get,
[tex]\frac{2n}{2} <\frac{8}{2}[/tex]
i.e. n < 4.
So, using the Backwards method, we get the solution is n<4.
2. Now, we use the Algebraic method,
We have, 2n+5<13
Take 5 to the right side of the inequality,
i.e. 2n<13-5
i.e. 2n < 8
Now, take the 2 on the right side of the inequality.
i.e. [tex]n<\frac{8}{2}[/tex]
i.e. n < 4.
So, again using the Algebraic Method, we get that the solution is n<4.
