Convert to Interval Notation x<5

Problem

x<5

Solution

1. Identify the inequality symbol. The symbol < represents "less than," which means the values of x are all numbers to the left of 5 on the number line.

2. Determine the boundary points. Since there is no lower bound, the interval starts at negative infinity, denoted as −∞ The upper bound is 5

3. Select the correct brackets. Use a parenthesis () for −∞ because infinity is never included. Use a parenthesis ) for 5 because the inequality is "strictly less than," meaning 5 is not included in the set.

4. Write the interval notation by placing the lower bound and upper bound inside the parentheses, separated by a comma.

Final Answer

x<5⇒(−∞,5)

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