Two-Variable Inequalities Worksheet
Explore and graph linear inequalities in two variables with this Grade 10 math worksheet, covering concepts like boundary lines, shaded regions, and solution sets.
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Two-Variable Inequalities
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. Which of the following points is a solution to the inequality y > 2x - 3?
(0, -5)
(2, 1)
(1, -1)
(-1, -6)
2. When graphing a linear inequality with a < or > symbol, the boundary line is .
3. To determine which region to shade for an inequality, you can use a point.
4. Graph the inequality: y ≤ -x + 4
5. The graph of y ≥ 3x - 1 includes the boundary line.
True
False
6. A store sells t-shirts for $10 each and hats for $15 each. You want to spend no more than $60. Write an inequality to represent the number of t-shirts (x) and hats (y) you can buy. Then, graph the inequality.
Match the inequality with the correct boundary line type.
7. y < 2x + 1
a. Solid Line
8. y ≥ -x + 5
b. Dashed Line