Answer:
FIRST OPTION: (-4, -2)
Explanation:
Given the inequality
, substitute each solution given in the options:
1) For (-4, -2) :
![(-2)+ (-4) < -5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qxl1vbis7vu6yv0ap0ml4kkfz4rzraqdfw.png)
(This is true)
2) For (-3, -2):
![(-2)+ (-3) < -5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fhm86g2pu9juqgsq4rcslaekh851ljz80d.png)
(This is not true)
3) For (-2, -3):
![(-3)+ (-2) < -5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ypauj2gdrxirqaopckwpl0cc3lxmlfiori.png)
(This is not true)
4) For (-1, -3):
![(-3)+ (-1) < -5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/psdophqny3z42ot2bqsgaqychbsvh91hfo.png)
(This is not true)
You can observe that (-4, -2) is a solution of
![y + x < -5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yk8c0bbbjmaxc3x0wobdf96e3c5m06ocs4.png)