Answer :

Sure, let's break these down step by step.

1. Calculate [tex]\( -6 + (-5) \)[/tex]:
- Start with [tex]\( -6 \)[/tex].
- Adding [tex]\( -5 \)[/tex] means moving further in the negative direction by 5 units.
- Combining these, [tex]\( -6 + (-5) \)[/tex] will give you [tex]\(-11\)[/tex].

So, [tex]\( -6 + (-5) = -11 \)[/tex].

2. Calculate [tex]\( 2 + (-6) \)[/tex]:
- Start with [tex]\( 2 \)[/tex].
- Adding [tex]\( -6 \)[/tex] means moving 6 units in the negative direction from 2.
- When you move 6 units to the left from 2, you end up at [tex]\( -4 \)[/tex].

So, [tex]\( 2 + (-6) = -4 \)[/tex].

Thus, the results are:
[tex]\[ \begin{array}{c} -6 + (-5) = -11, \\ 2 + (-6) = -4. \end{array} \][/tex]