The |3+10|=|3|+|10| is true because 13 =13.
Given,
|3+10|=|3|+|10|
We have to show that |3 + 10| is equal to |3| + |10|.
A modulus is denoted by | |.
When a number is written in modulus form,
we write it as |x| where x is the number.
If a positive number is written in a modulus form the number remains the same.
|x| = x
If a negative number is written in modulus form the negative number becomes positive.
|-x| = x
We can also separate an equation in a modulus.
|x+y| = |x| + |y|.
We have,
|3+10| = |3| + |10|
|3+10| can be written separated as |3| + |10|.
So,
|3+10| = |3| + |10|
or
|3+10| = |13| = 13
|3| + |10| = 3 + 10 = 13
Now,
|3+10| = |3| + |10|
13 = 13.
Hence |3+10| is equal to |3|+|10|.
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