Two-Variable Inequalities Worksheet
Explore and graph linear inequalities with two variables, including identifying solutions and understanding boundary lines.
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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 + 1?
(0, 1)
(1, 2)
(-1, 0)
(2, 6)
2. When graphing an inequality with 'less than or equal to' (≤) or 'greater than or equal to' (≥), you should use a line.
3. The solution set for a two-variable inequality is represented by a region on the coordinate plane.
4. Graph the inequality y ≤ -x + 3 on the coordinate plane below.
5. The boundary line for the inequality x > 4 is a dashed vertical 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 possible number of t-shirts (t) and hats (h) you can buy.