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 boundary points. Since x can be any value smaller than −2 without limit, the lower bound is negative infinity, written as −∞

3. Check for inclusion. The inequality is "strict" (it does not include "or equal to"), so −2 is not included in the set.

4. Apply interval notation rules. Use a parenthesis () for −∞ and a parenthesis ) for −2 to indicate that the endpoint is excluded.

Final Answer

x<−2⇒(−∞,−2)

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