To solve the equations you've provided, let's clarify a few things. It looks like the terms in parentheses, such as (-5, 5) and others, might represent an interval, but they appear to be incorrectly formatted in your expressions. However, I will interpret the terms in parentheses as the intervals they're representing and subtract them accordingly.
Let's go through each expression step by step:
24 - (−13)
This is the same as: \[ 24 + 13 = 37 \]
−5 − (−5, 5)
Here, it seems you may want to subtract an interval. If we consider the interval (-5, 5), we can interpret this as requiring subtraction from each part: \[ -5 - (-5) = 0 \quad \text{and} \quad -5 - 5 = -10 \] So the expression would result in the interval [−10, 0] if that's what you were intending.
8 − (−6, 7)
Similar to the previous interpretation, we can treat it as: \[ 8 - (-6) = 8 + 6 = 14 \quad \text{and} \quad 8 - 7 = 1 \] Therefore, it could likewise mean the interval [1, 14] if considering the entire interval.
20 − (−25, 7)
Again, applying the same logic: \[ 20 - (-25) = 20 + 25 = 45 \quad \text{and} \quad 20 - 7 = 13 \] Hence, this would result in the interval [13, 45] under the same interpretation.
If the intent was different, please clarify, and I can adjust my approach accordingly!