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How do you simplify # |2 - 6| + | -3+5| - |4-9| + |-1| #?

Answer 1

Nathan Axel

#| 2-6|+| -3+5|-| 4-9|+| -1|# #=| -4|+| +2|-| -5|+| -1|# #=+4+2-5+1 =2#

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Answer 2

Avery Alexander

#2#

Never forget that an absolute value is always positive and represents the distance from #0#.

Number|2–6|+|~-3+5|-|~4–9|+|-1|#

#1|\-1|+|\2|-|\-5|+|\-4|#

#rarr4+2-5+1#

#rArr2#

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Answer 3

Jameson Allen

To simplify the expression |2 - 6| + |-3 + 5| - |4 - 9| + |-1|, first calculate the absolute values within the brackets. Then perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).

|2 - 6| = |-4| = 4 |-3 + 5| = |2| = 2 |4 - 9| = |-5| = 5 |-1| = 1

Now substitute these values back into the original expression and simplify:

4 + 2 - 5 + 1 = 2

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.