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Systems of Linear Inequalities in Two Variable
2 Word problems and inequalities
Graph the following inequalities:
3x + 4y ≤ 24
3x + 4y > 12.
Follow these steps to graph the inequality 3x + 4y ≤ 24.
• Graph the line 3x + 4y = 24; the intercept method is
best for this
• Determine which half to shade by analyzing a test point.
Since (0, 0)
satisfies the inequality , it is in the half to be shaded and we shade
• You can see these steps on the next slide.
Fruit Punch A is 10% lemon juice. Fruit Punch B is 20%
lemon juice. If
you require at least 30 ounces of lemon juice each day, find a system of
inequalities that describes those combinations of punch which satisfy your
Let a and b denote the number of ounces of punch A and B. Then