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Example: Interpreting and Graphing x>3x > 3

To determine all the solutions to the linear inequality x>3x > 3, one must envision any number strictly greater than 33, such as 44, 66, or even 3.0013.001. On a number line, this solution set is visualized by putting an open parenthesis at the boundary point 33—demonstrating that exactly 33 is excluded—and shading every number to its right. This region extends infinitely upwards, so using interval notation, the solution is written as (3,)(3, \infty). The symbol \infty signifies infinity, indicating that the interval continues endlessly without a maximum upper bound.

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Updated 2026-05-06

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