Graph x+4>=0

Problem

x+4≥0

Solution

1. Isolate the variable x by subtracting 4 from both sides of the inequality.

x+4−4≥0−4

x≥−4

2. Identify the boundary on the number line. The boundary is the point x=−4

3. Determine the type of endpoint. Since the inequality is "greater than or equal to" (≥, use a solid circle (or a bracket) at −4 to indicate that −4 is included in the solution set.

4. Shade the region to the right of −4 on the number line, as the inequality represents all values of x that are greater than or equal to −4

5. Interpret the graph in interval notation. The shaded region starts at −4 and continues to infinity.

[−4,∞)

Final Answer

x≥−4

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