Convert to Interval Notation x<2

Problem

x<2

Solution

1. Identify the inequality symbol. The symbol < represents "less than," which means the values of x are all numbers to the left of 2 on the number line.

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

3. Select the grouping symbols. Use a parenthesis () for −∞ because infinity is never included. Use a parenthesis ) for 2 because the inequality is "strict" (less than, not less than or equal to), meaning 2 is not included in the set.

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

Final Answer

x<2⇒(−∞,2)

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