3
QuizMultiple Choice

Graphing Two-Variable Linear Inequalities — Quiz

Question 3 • Mathematics I

Which statements are true about the linear inequality y is greater than 3 fourths x minus 2 ? Choose three correct answers.

Answer
A
The graph of y is greater than 3 fourths x minus 2 is a dashed line.
B
The slope of the line is negative 2 .
C
One solution to the inequality is 0 comma 0 .
D
The area below the line is shaded.
E
The graph intersects the y -axis at 0 comma negative 2 .

Explanation

The boundary is the line y = (3/4)x − 2. Because the inequality is strict (y >), its boundary is dashed, so A is true. The point (0, 0) satisfies the inequality because 0 > −2, making C true; the line crosses the y-axis at (0, −2), making E true. The slope is 3/4, not −2, and the region above the line is shaded.

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