Problem 29 of 35alg-029
Which of the following points is a solution of the system of inequalities and ?
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Solution walkthrough1:59
- A solution of a system must make both inequalities true at once. Each inequality is true on one side of a line.
- is the line and everything below it. The line is solid: "or equal to" lets its points count.
- is everything above the line . The line is dashed: points on it do not count.
- Test each point in both inequalities. Only passes both: and .
- Traps: and each pass only one inequality, and lies on the dashed line, which is left out.