Graph x<-2

Problem

x<−2

Solution

1. Identify the inequality type. The symbol < represents "less than," which means the solution includes all values to the left of −2 on a number line.

2. Determine the boundary point. The boundary is at x=−2 Since the inequality is strict (it does not include "equal to"), use an open circle at −2 to indicate that −2 is not part of the solution set.

3. Shade the number line. Draw a bold line or an arrow starting from the open circle at −2 and extending infinitely to the left (towards negative infinity).

4. Express in interval notation. The shaded region corresponds to the interval (−∞,−2)

Final Answer

x<−2⇒(−∞,−2)

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