Given:
The point is (-2,4).
To find:
Whether the point (-2,4) satisfy
or
.
Solution:
We have a point (-2,4).
Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.
![3x+5=3(-2)+5](https://img.qammunity.org/2021/formulas/mathematics/high-school/c4ougkovo8b23yonet3pmlg5fg7np416yv.png)
![=-6+5](https://img.qammunity.org/2021/formulas/mathematics/high-school/aqdwpro478ulherbzeb5glp7pzdbsewrvv.png)
![=-1](https://img.qammunity.org/2021/formulas/mathematics/college/m5d9rj9kb5xsib1ow3tpvh5r2ql12326os.png)
-1 is less than 4.
![3x+5<4](https://img.qammunity.org/2021/formulas/mathematics/high-school/luf9kg3r6ruunj3adfc4tpppex39i2j264.png)
![3x+5<y](https://img.qammunity.org/2021/formulas/mathematics/high-school/d4tu10geg4b7pebi3y9vslidwk26ucktm4.png)
In can be written as
![y>3x+5](https://img.qammunity.org/2021/formulas/mathematics/high-school/8tuqys2vkxspm4umd65ixr0hgl61suja49.png)
Therefore, the given point (-2,4) satisfy
.