Interval Notation Calculator

Interval notation calculator helps you to find the interval values from the given set interval notation.

Also, this set builder notation calculator allows you to find the set builder notation for the given notation.

What is Interval Notation?

According to the mathematics definition, it is the technique of writing subsets of the real number line. An interval notation example is one that includes its endpoints: for example, if we have the set \({x |−2≤x≤1}\) then according to a definition it will be written as: \([−2,1]\).

Interval (Set Builder) Notation formula is: \(= n1<=x <=n2\)

• \(n1\) is representing the First Number
• \(n2\) is representing the Second Number

When numbers are written as \([a,x]\) then they are indicating that “\(a\)” and “\(x\)” are included in a set. On the other hand \((a,x)\) indicates that“\(a\)” and “\(x\)” is omitted from the set. “\([b,y)\)” known as half-closed and indicates that b is included but y is excluded. Similarly \((b,y]\) will be recognized as half-open that specifies \(b\) is omitted and \(y\) is included in the set.

How to Convert to Interval Notation?

There are some steps to follow to convert to Interval Notation \(7-x/6>8\).

• First of all,move all the non \(x\) terms to the right side and then subtract \(7\) from both sides of the inequality: \(7-x/6>8 = -x/6 > 8-7 = -x/6 > 1\)
• Multiply by \(-1\) and flip the direction of inequality:\(-x/6. -1<1⋅−1 = −x/6⋅−1= x/6<1⋅−1\)
• Multiply \(-1\) by \(1 = x/6<-1\).
• Multiply both sides by \(6 = x<-1.6 = x<-6\).
• Now convert the inequality to write answer in interval notation= \(7-x/6>8\)

How to Our Calculator Works?

Input:

• In the first step, you have to Enter the interval (closed or open interval) in the given input fields
• Select the value of \(x\), whether you need to get a data solution set in the form of even, odd, or prime
• In the final step, you have to click the button “Calculate” to get the results

Output:

Within few moments this set builder notation calculator will display:

• Interval values
• Set builder notation
• Total length of the solution set
• Topology of the solution set.

References:

From the authorized source of Wikipedia: The details of Interval (mathematics)

The source of brilliant provides you with: way of writing interval notation