Graphing Linear Inequalities - Examples & Practice
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- A Brief Introduction How do you feel about graphing linear equations such as y=3x−5y=3x-5y=3x−5 and 6x−11y=216x-11y=216x−11y=21? You'll need all the same skills for graphing lin…
By Jack Kiuttu, Zora Gilbert, Alex Federspiel, Eunji Kwon, Dani, Anusha Rahman
- Inequalities can have more than one variable. Here, we're going to take a closer look at inequalities that have two variables, xxx and yyy. When inequalities involve curves inst…
By Hannah Bonville, Zora Gilbert, Vatsal Ojha, Alex Federspiel, Jonathan Heller, Dani, Anusha Rahman
- (Video) Graphing Linear Inequalities by Friendly Math 101 Here's a video by Friendly Math 101101101 showing you how to graph linear inequalities. These are similar to graphing e…
By Alex Federspiel, Eunji Kwon, Amy Feraco, Dani, Anusha Rahman
Problems 25
- Which of the following points are solutions to the inequality x−3<y≤x+3x-3 < y \leq x + 3x−3<y≤x+3?
- Which graph represents y<3y<3y<3?
- What graph represents y≤xy\leq xy≤x?
- Which graph represents the inequality 2x+y<42x+y<42x+y<4?
- Which graph represents the solution to the following inequality? 4y−6<8(x2−1)4y-6<8(\frac{x}{2}-1)4y−6<8(2x−1)
- Which points are solutions to the inequality 5x+4y≤−55x+4y \leq -55x+4y≤−5?
- Anna is decorating for a surprise party for her friend. Streamers cost 4\44 and a pack of balloons cost 6\66. She has, at most, 36\3636 to spend. Which graph represents how many…
- Which inequality is graphed above?
- Which inequality is graphed above?
- Describe the graph of a "less than" inequality y<mx+by < mx+by<mx+b.
- Where is the solution set on the graph if the linear inequality is "greater than", i.e. "y>mx+by>mx+by>mx+b"?
- Where is the solution set on the graph if the linear inequality is "greater than or equal to", i.e. "y≥mx+by\geq mx+by≥mx+b"?
- Describe the graph of a "less than or equal to" inequality y≤mx+by \leq mx+by≤mx+b.
- Select the inequality represented by the graph above.
- Select the inequality represented by the graph above.
- Select the inequality represented by the graph above.
- Select the inequality described by the graph above.
- Using the graph of y=34x−1y = \frac{3}{4}x-1y=43x−1, select the point that does not satisfy the inequality y≥34x−1y \ge \frac{3}{4}x-1y≥43x−1
- Using the graph of y=56x+12y = \frac{5}{6}x+\frac{1}{2}y=65x+21, select the point that does not satisfy the inequality y≤56x+12y \le \frac{5}{6}x+\frac{1}{2}y≤65x+21
- Using the graph of y=2x−12y=2x-\frac{1}{2}y=2x−21, select the point that does not\textbf{not}not satisfy the inequality y>2x−12.y > 2x-\frac{1}{2}.y>2x−21.
- Using the graph of y=−x+12y=-x+\frac{1}{2}y=−x+21, select the point that does not\textbf{not}not satisfy the inequality y<−x+12.y < -x+\frac{1}{2}.y<−x+21.
- Which inequality describes the graph above?
- Which inequality describes the graph above?
- The signs ≤\le≤ and ≥\ge≥ are represented on a graph by what kind of lines?
- Express this graph in set builder notation.