![]() ![]() Therefore, this area is the area where the inequality holds true. See a solution process below: First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality. The area (region) to the right side of this has all the points with x < 1. Determine whether an ordered pair is a solution for a system of linear equations. We know that line $x=1$ is a vertical line passing through $x=1$. We can shade that area by drawing the line $x=1$ as this line makes the boundary condition for the inequality. It will be an area where all the points have x < 1. Graph the 'equals' line, then shade in the correct area. See below: Were concerned with all the x values less than 5. On one side lie all the possible solutions to the inequality. Now, if we plot the above inequality then we have to consider all the points on the coordinate plane where the x-coordinate is greater than one. Put an open circle there, because x 5 isnt part of the solution set. The graph of a single linear inequality splits the coordinate plane into two regions. Here, the length (L) of the stick is unknown but it is true that the length is less than one metre. ![]() Now, we approximate the length of the stick and we surely know that the stick cannot be more than one metre (by using some other stick whose length is exactly one metre). However, we do not have any measuring instrument to measure its length. In other words, we can say that the value of the quantity is not exactly known but we do know some restriction or condition for the value of the quantity.įor example, suppose we have a stick in our hand and we want to measure the length of that stick. Let us first understand what is meant by an inequality.Īs the same suggests, inequality refers to something (say some variable) being not exactly equal to something. ![]() First, plot the line for the equation $x=1$ and then shade the area for which the x coordinates of all the points in that area are less than 1. Hint: The plot of an inequality is an area on a coordinate plane. ![]()
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