Graphing Inequalities - SAT Math
Card 0 of 12
For the following system of equations, what shape does the corresponding graph make:
For the following system of equations, what shape does the corresponding graph make:
When we graph the three inequalities as equations, we get the below graph. Testing a point within the triangle does in fact fulfill all three conditions, so the shape formed by the inequalities is a triangle. If a tested point within the triangle did not fulfill one or more conditions, then we would have chosen “it does not form a shape.”
When we graph the three inequalities as equations, we get the below graph. Testing a point within the triangle does in fact fulfill all three conditions, so the shape formed by the inequalities is a triangle. If a tested point within the triangle did not fulfill one or more conditions, then we would have chosen “it does not form a shape.”
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Which of the following graphs correctly describes the system of inequalities:
Which of the following graphs correctly describes the system of inequalities:
After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.
After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.
Compare your answer with the correct one above
For the following system of equations, what shape does the corresponding graph make:
For the following system of equations, what shape does the corresponding graph make:
When we graph the three inequalities as equations, we get the below graph. Testing a point within the triangle does in fact fulfill all three conditions, so the shape formed by the inequalities is a triangle. If a tested point within the triangle did not fulfill one or more conditions, then we would have chosen “it does not form a shape.”
When we graph the three inequalities as equations, we get the below graph. Testing a point within the triangle does in fact fulfill all three conditions, so the shape formed by the inequalities is a triangle. If a tested point within the triangle did not fulfill one or more conditions, then we would have chosen “it does not form a shape.”
Compare your answer with the correct one above
Which of the following graphs correctly describes the system of inequalities:
Which of the following graphs correctly describes the system of inequalities:
After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.
After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.
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Which of the following ordered pairs (x,y) is a solution to the system of inequalities:
Which of the following ordered pairs (x,y) is a solution to the system of inequalities:
This is the only coordinate point that fulfills the system of inequalities.
This is the only coordinate point that fulfills the system of inequalities.
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If the system of inequalities 
and 
is graphed on the xy- plane above, which quadrant contains no solutions to the system?
If the system of inequalities 
The graph of the system of inequalities is shown below. The solution (in purple) does not go into region I or II.
The graph of the system of inequalities is shown below. The solution (in purple) does not go into region I or II.
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If the system of inequalities 
and 
is graphed on the xy- plane above, which quadrant contains no solutions to the system?
If the system of inequalities 
The graph of the system of inequalities is shown below. The solution (in purple) is present in all four regions.
The graph of the system of inequalities is shown below. The solution (in purple) is present in all four regions.
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If the system of inequalities 
and 
is graphed on the xy- plane above, which quadrant contains no solutions to the system?
If the system of inequalities 
The graph of the system of inequalities is shown below. The solution (in purple) is present in all four regions.
The graph of the system of inequalities is shown below. The solution (in purple) is present in all four regions.
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The graph shown above is best represented by which inequality?
The graph shown above is best represented by which inequality?
The x-intercept is (4,0) so when 
equals 0, 
, and the y-intercept is (0,3) so when 
equals 0, 
. These points only work for a line corresponding to 
. To determine which direction the inequality points, you can plug in any point. If we use (0,0), 
, so this is the direction the inequality must face.
The x-intercept is (4,0) so when 
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Which of the following are solutions to the system of equations 
and 
?
I) 
II) 
III) 
Which of the following are solutions to the system of equations 
I)
II)
III)
With this question, it is important to recognize the system of inequalities utilizes the “greater than” sign, not the “greater than or equal to” sign. 
does not fulfill 
. 
appears to fulfill both conditions but 
. 18 is not greater than 8, leaving only 
as a possible solution.
With this question, it is important to recognize the system of inequalities utilizes the “greater than” sign, not the “greater than or equal to” sign. 
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Which of the following are solutions to the system of equations 
and 
?
I) 
II) 
III) 
Which of the following are solutions to the system of equations 
I)
II)
III)
With this question, it is important to recognize the system of inequalities utilizes the “greater than or equal to” sign. 
does not fulfill wither inequality. 
and 
fulfill both conditions.
With this question, it is important to recognize the system of inequalities utilizes the “greater than or equal to” sign. 
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Which of the following graphs correctly describes the system of inequalities:
Which of the following graphs correctly describes the system of inequalities:
After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.
After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.
Compare your answer with the correct one above