Both integers have negative values
Step-by-step explanation
Let
x and y represents the number
so, the options are
![\begin{gathered} +\text{ + +} \\ +\text{ + -} \\ -\text{ + +} \\ -\text{ +-} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/kh4gv6x117gyknuej126icyr44qxv3y1xt.png)
a) Both integers have negative values Both integers
![-x-y=-(x+y)\rightarrow you\text{ will always get a negative number}](https://img.qammunity.org/2023/formulas/mathematics/college/e7vyzq2p3w1y5rwnh6o1kv486mff615b67.png)
b) Both integers have positive values
![x+y=+\text{ + += you will always get a positive number}](https://img.qammunity.org/2023/formulas/mathematics/college/laqh5hb0xpxzu46w6ufagy4pqp1zpkmpnv.png)
c)One integer has a positive value, and one integer has a negative value
![\begin{gathered} -x+y\text{ or x-y} \\ the\text{ sign of the result depends on the greates absolute value, it means the answer will have the same of the bigger number( absolute value)} \end{gathered}]()
d)The values of the two integers are opposites
as the point C , the sign depends on the bigger number
for example
![\begin{gathered} 8-5=3\text{ positive because 8 is the bigger} \\ 5-8=-3\text{ negative because (-8) is has the bigger absolute value} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gzbrlmxsgl078syjsfj85bblj0z01qa84c.png)
so, the answer is Both integers have negative values
I hope this helps you