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Can inequalities overlap?
It is the overlap, or intersection, of the solutions for each inequality. When the two inequalities are joined by the word or, the solution of the compound inequality occurs when either of the inequalities is true. The solution is the combination, or union, of the two individual solutions.
What is the region called where all of the shading overlaps?
shaded region
The solution to this system is the shaded region (triangular) in the center where all three shaded regions overlap. This region can be difficult to see in a graph so it is common practice to erase the shading that is not a part of the solution to make the solution region is more obvious.
Are there shaded areas overlap?
Graph the line y = x – 3 and determine which side of the line to shade by checking a test point (a random point that’s clearly on one side or the other) to see if it satisfies the inequality. The two shaded areas overlap where the inside of the parabola and area above the line intersect.
What are 2 types of compound inequalities?
There are two types of compound inequalities. They are conjunction problems and disjunction problems. These compound inequalities will sometimes appear as two simple inequalities separated by using the word AND or OR. When solving “and/or” compound inequalities, begin by solving each inequality individually.
How do you write a solution to a compound inequality?
The graph of a compound inequality with an “and” represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.
Where do you shade when graphing two inequalities?
Shade the lower half of the line. Similarly, draw a dashed line for the related equation of the second inequality y>−3x+5 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .