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Interval Notation Calculator - Online Calculator - Tutorpace

# Interval Notation Calculator

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Interval notion is the representation of the given set of numbers between two real numbers. The closed interval is represented by '[ ]'. The open interval is represented by '( )'. The online tool used write the given set of numbers in an interval notation is called as Interval notation calculator.

Example 1: Find the solution of the equation and write the solution in interval notation 3 x - 9 > 6.

Given is an inequality 3 x - 9 > 6.

Add 9 on both sides of the equation.

3 x - 9 + 9 > 6 + 9   3 x > 15.

Now divide 3 on both sides of the equation.

3 x/ 3 > 15/ 3   x > 5

The solution to the given inequality is all the values greater than 5.

Interval notation is (5, ∞).

Example 2: Find the solution of the equation and write the solution in interval notation 2 x + 4 < 20.

Given is an inequality 2 x + 4 < 20.

Subtract 4 on both sides of the equation.

2 x + 4 - 4 < 20 -4  2 x < 16.

Now divide by 2 on both sides of the equation.

2 x/ 2 < 16/ 2   x < 8

The solution to the given inequality is all the values less than 8.

Interval notation is (-∞, 8)