Sure! Let's consider two integers, [tex]\(a\)[/tex] and [tex]\(b\)[/tex].
1. Let's choose [tex]\(a = -9\)[/tex]. By selecting [tex]\(a = -9\)[/tex], we ensure that [tex]\(a\)[/tex] is greater than [tex]\(-10\)[/tex].
2. Next, let's choose [tex]\(b = -2\)[/tex]. By selecting [tex]\(b = -2\)[/tex], we ensure that [tex]\(b\)[/tex] is also greater than [tex]\(-10\)[/tex].
Now we need to check that their sum is less than [tex]\(-10\)[/tex]:
[tex]\[ a + b = -9 + (-2) \][/tex]
[tex]\[ a + b = -9 - 2 \][/tex]
[tex]\[ a + b = -11 \][/tex]
So, the integers [tex]\(a = -9\)[/tex] and [tex]\(b = -2\)[/tex] both satisfy the conditions of being greater than [tex]\(-10\)[/tex] and having a sum less than [tex]\(-10\)[/tex].
Therefore, the two integers are [tex]\(-9\)[/tex] and [tex]\(-2\)[/tex], and their sum is [tex]\(-11\)[/tex], which is indeed smaller than [tex]\(-10\)[/tex].
