G6a
Practice - Graphing Inequalities
TRY TO ANSWER IN TWO AND A HALF MINUTES.
QUESTIONS
QUESTIONS
1. Graph the area representing the inequality y ≤ (5/3)x + 5.
2. Graph the area representing the equation y ≥ 4.
3. Graph the area representing the equation y ≤ 4.
4. How would the answers to Questions #2 and #3 have changed if the inequality had been y > 4 and y < 4?
ANSWERS
1. First draw the line representing y = (5/3)x + 5. The x-intercept is 5, so one point on the line is (0,5). The y-intercept is -3, so another point on the line is (-3,0). You draw the line through these two points. Then you look at the sign of the inequality, which says that y is less than or equal to the line. This means that the area is below the line, not above it.
2. The equation y = 4 is a horizontal line at y = 4. Since the inequality is "greater than" 4, the area would be above the horizontal line.
3. This is the same equation, with a horizontal line at y = 4. But this time the inequality is "less than" 4, so the area would be below the horizontal line.
4. The areas above and below the line y = 4 would have been the same, but the areas would not have included the line itself.
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