Given:
1.
![x+1 \leq-2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9j08ltfzkgjmiugpid6ndqhbf69l3ifhya.png)
2.
![x-2>1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7au1e1hw4n3mqmk42yxpocgil38xt1phhc.png)
To find:
The solution of the inequalities in set notation.
Solution:
Question 1.
![x+1 \leq-2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9j08ltfzkgjmiugpid6ndqhbf69l3ifhya.png)
Subtract 1 from both sides.
![x+1-1 \leq-2-1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ss273v6br6k8gysk8sq3rgizgyboelgot6.png)
![x \leq-3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i9fl2ube0a2h9w9hd4fbaj67yfgocrhysi.png)
The solution of the inequality in set notation = x ≤ -3
The graph of the inequality is attached below.
Question 2:
![x-2>1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7au1e1hw4n3mqmk42yxpocgil38xt1phhc.png)
Add 2 on both sides.
![x-2+2>1+2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ngg3edmrd8g9d9y3z0tccdinaqzcm419d5.png)
![x>3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3xbhcua6r10nwy81fmz8508jx7phs8ifql.png)
The solution of the inequality in set notation = x > 3
The graph of the inequality is attached below.