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Published byDwain Clarke Modified over 4 years ago

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EXAMPLE 4 Graph a linear inequality in one variables Graph the inequality y –3. SOLUTION Graph the equation y = –3. The inequality is , so use a solid line. STEP 1 STEP 2 Test (2, 0) in y –3. You substitute only the y -coordinate, because the inequality does not have the variable x. 0 –3

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EXAMPLE 4 Graph a linear inequality in one variables Shade the half-plane that contains (2, 0), because (2, 0) is a solution of the inequality. STEP 3

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EXAMPLE 5 Graph a linear inequality in one variables Graph the inequality x < –1. SOLUTION Graph the equation x = –1. The inequality is <, so use a dashed line. STEP 1 STEP 2 Test (3, 0) in x < –1. You substitute only the x -coordinate, because the inequality does not have the variable y. 3 < –1

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EXAMPLE 5 Graph a linear inequality in one variables Shade the half-plane that does not contain (3, 0), because (3, 0) is not a solution of the inequality. STEP 3

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GUIDED PRACTICE for Examples 4 and 5 5. Graph the inequality y > 1. ANSWER

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GUIDED PRACTICE for Examples 4 and 5 6. Graph the inequality y 3. ANSWER

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GUIDED PRACTICE for Examples 4 and 5 7. Graph the inequality x < –2. ANSWER

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