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Whichever side contains all the numbers that satisfy the inequality.
Generally, "greater than" points to the right side of the line or above it,
and "less than" will lead to the left side or below it. But you have to be
careful, and it would really help a lot if you understood the whole concept
better than you presently do.
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When you graph inequalities how do you know what to shade?
Pick a test point, (the origin is the most convenient unless the line of the inequality falls on it), and plug it into the same linear inequality. If the test point makes the inequality true, then shade that side of the line. If the test point makes the inequality false, then shade the opposite side of the line.
What does a dashed line represent on a graph?
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
Suppose y is alone on the left side of an inequality After you graph the boundary how can you decide whether to include the boundary in the graph and which region to shade?
If the inequality is strict (< or >) then the boundary is not included. Otherwise (≤ or ≥), it is.
How do you graph the inequality w is greater than or equal to five?
-- Label the vertical (' y ') axis ' w '.-- Draw a horizontal line on the graph, passing it through the pointon the vertical axis where w=5.-- Draw gigantic light 'X's, or shadows or slanty lines or squiggles, everywhereabove the horizontal line, indicating that every point in that infinite half-planeabove the line, as well as every point on the line itself, is a solution of the inequality.
What is the difference between linear equations and linear inequalities?
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.
