Express the interval in terms of an inequality involving absolute

zakinutuzi

zakinutuzi

Answered question

2021-12-06

Express the interval in terms of an inequality involving absolute value. (0, 4)

Answer & Explanation

soanooooo40

soanooooo40

Beginner2021-12-07Added 35 answers

Step 1
(0,4)
We know that open interval (a, b) can be expressed in inequality with an absolute value representing the interval as:
{xR:|xc|<r}
Where c=a+b2 is the midpoint and r=ba2 is the radius?
Step 2
For the given interval (0,4), we have
c=a+b2=0+42=42
So, c=2
r=ba2=402=42
So, r=2
So, the given interval can be expressed as
{xR:|x2|<2}
Result:
{xR:|x2|<2}

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