Answer:
Option 1)
![n+15-15<22-15](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bqjytlqt1cf6zb5hksuq931ry0gusymexk.png)
Option 3)
![n+15-22 <22-22](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lsw6qyissd6z9rfex9d02ob4d7mda6ptwu.png)
Option 4)
![n+15+6 <22+6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sp15tzc21xva9h8k3igxbxvod5mhh2w11c.png)
Explanation:
We are given an inequality in the question:
![n+15 <22](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hg0vs5c3d4601olhceda038hvzas8m2ry6.png)
We have to find the inequalities equivalent to the given inequality.
1)
![n+15-15<22-15\\n + 15 < 22-15 + 15\\n +15 < 22](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tzgg9jfwk4or5jo8k6btrymydkiebk1la0.png)
which is equivalent to the given inequality.
2)
![n+15<22-15\\n +15 < 7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6scs123aojvx8gs1hf4esb61if823a39gs.png)
which is not equivalent to the given inequality.
3)
![n+15-22 <22-22\\n+15 < 22-22+22\\n +15 < 22](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pggif6j1xjjijwr9sukl0o3930ev0y0yvj.png)
which is equivalent to the given inequality.
4)
![n+15+6 <22+6\\n +15 < 22+6-6\\n+15 < 22](https://img.qammunity.org/2020/formulas/mathematics/middle-school/eyo2wmc42v2doftnk1l63o8337py0qs0tk.png)
which is equivalent to the given inequality.
5)
![n+15-22 <22\\n+15< 22+22\\n+15<44](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zbg964159gf5mfnd64h2u3z4zblev32bsd.png)
which is not equivalent to the given inequality.