Graphing Systems of Linear Inequalities - Process & Examples
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- Graphing Systems of Linear Inequalities A system of linear inequalities is two or more inequalities that use the same variables with the same values. The graph of a system of in…
By Hannah Bonville, Alex Federspiel, Ruiran Xun, Jonathan Heller, Caroline K, Anusha Rahman
- (Video) Solving Systems of Inequalities by mathman1024 This video by Friendly Math 101 shows how to graph systems of linear inequalities. Summary\large{\text{Summary}}Summary Ju…
By Alex Federspiel, Ruiran Xun, Joshua Siktar, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
- (Video) Solving a System of Inequalities by Graphing and Shading by Brian McLogan This video by Brian McLogan shows you how to interpret inequality graphs. Summary\large{\text{S…
By Liza Sulkin, Jonathan Heller, Amy Feraco, Caroline K, Anusha Rahman
Problems 36
- Which of the graphs below represents the following system of linear inequalities? y≤x+4y\leq x+4y≤x+4 y>2x+1y> 2x+1y>2x+1
- Which system of linear inequalities has a solution?
- What system of linear inequalities represents this graph?
- What is the fewest number of linear inequalities ax+by+c≥0ax+by+c \ge 0ax+by+c≥0 (for real constants a,b,ca,b,ca,b,c) you need to get a system of inequalities with exactly 1 sol…
- At most how many regions in the plane do 2 lines create? (Alternative formulation: Using only 2 vertical cuts, how many pieces can you slice a circular pie into?)
- 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.
- A system of two linear inequalities is shown above. The solution region is shaded in purple. What are the two inequalities?
- Find a system of two linear inequalities represented by the purple region shown above.
- Find the system below whose graph is the purple starred region shown above.
- The common solution set of two linear inequalities is shown above as the purple starred region. What is the system?
- Two linear inequalities are graphed above. The common solution set is the purple region. What are the two inequalities in the system?
- Three linear inequalities are graphed above. Their common solution set is represented by the purple region. What are the three inequalities in the system?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- The graph of a system of linear inequalities is shown above. What is the description of the solution set?
- Which of the following graphs represents the following system: {y<2xy≥0.5x\begin{cases} y<2x \\ y \geq 0.5x \end{cases}{y<2xy≥0.5x
- Which of the following graphs could represent the following system: {y<0.5x+1y>0.5x−1\begin{cases} y <0.5x + 1\\ y > 0.5x-1 \end{cases}{y<0.5x+1y>0.5x−1
- How many solutions does the following system have: {2y≥x−y+3>−x+2y≤−1\begin{cases} 2y \geq x\\ -y+3 > -x+2\\ y \leq -1 \end{cases}⎩⎨⎧2y≥x−y+3>−x+2y≤−1
- Which of the following systems of inequalities has (−1,−1)(-1,-1)(−1,−1) as a solution?
- Which of the following points is a solution of the following system of linear inequalities? {y≥−3x+7y<2x−1\begin{cases} y \geq -3x+7\\ y<2x-1 \end{cases}{y≥−3x+7y<2x−1 Select a…
- Which of the following systems of equations has (2,−4)(2,-4)(2,−4) as a solution?
- Which of the following points are solutions to the following system of inequalities? {y>−0.5x−1y≤3x−2\begin{cases} y > -0.5x-1\\ y \leq 3x-2 \end{cases}{y>−0.5x−1y≤3x−2 Select …
- Which of the following points is a solution for the following system of inequalities? {y<−x+3y<3x−2y≥0.5x−1\begin{cases} y < -x+3\\ y < 3x-2\\ y \geq 0.5x-1 \end{cases}⎩⎨⎧y<−x+…
- Which of the following is a solution to the following system of inequalities? {y<−xy<4x−3y>x+2\begin{cases} y < -x\\ y < 4x-3\\ y > x+2\\ \end{cases}⎩⎨⎧y<−xy<4x−3y>x+2
- How many solutions does the following system have? {y≥−x+3y≥3x−1y≤2\begin{cases} y \geq -x+3\\ y \geq 3x-1\\ y \leq 2 \end{cases}⎩⎨⎧y≥−x+3y≥3x−1y≤2
- What is the shape of the region of solutions to the following system of inequalities? {y>−2x+4y>2x−2y<−x+3\begin{cases} y> -2x+4\\ y > 2x-2\\ y< -x+3 \end{cases}⎩⎨⎧y>−2x+4y>2x−…
- Which of the following systems of inequalities have at least one solution? Select all that apply.
- Which of the following points is a solution to the following system of inequalities? {y<−x+4y>3x+1x≥0\begin{cases} y<-x+4\\ y>3x+1\\ x\geq 0 \end{cases}⎩⎨⎧y<−x+4y>3x+1x≥0
- How many solutions does the following system of inequalities have? {y<2x−1y>2xy>2x+1\begin{cases} y<2x-1\\ y>2x\\ y>2x+1 \end{cases}⎩⎨⎧y<2x−1y>2xy>2x+1
- Which of the following graphs represents the following system of inequalities? {y>2x−1y≤x\begin{cases} y>2x-1\\ y\leq x \end{cases}{y>2x−1y≤x
- Which of the following graphs represents the following system of inequalities? {y<12x−1y≤32x\begin{cases} y<\frac{1}{2}x-1\\ y\leq\frac{3}{2}x \end{cases}{y<21x−1y≤23x