Inequality is a relationship between two expressions. If it has a greater than sign, you shade the area above the line if it includes a lesser than sign, you will shade the area that lies below the plotted line.Īnswers for both lessons and both practice sheets. Once you have graphed the inequality, you need to shade the area it covers. You will use a dashed line only when there is "greater than" or "less than" sign and a solid line when there is "greater than or equal to," or "less than or equal to" sign. Once plotted, make a straight line connecting these two points. Step 4: Plotting - Use the y-intercept and the x-intercept to start plotting. To find the x-intercept, replace y with a 0 and find the value of x. Step 3: Find the x-intercept - Remove the inequality sign, replace it with an "equals to" sign to find the x-intercept. Step 2: Identify the Slope and y-intercept - The next step is to observe the rearranged inequality and identify the slope that is "m" and the y-intercept, that is "b." The final inequality will look like y ≥ 3 - 3x. To rearrange the inequality, subtract 3x on both sides. Consider the inequality 3x + y ≥ 3.Īnd you know that the generally straight-line equation looks like y = mx + b. Step 1: Rearrange the inequality in the general straight-line form. Here is how you can graph an inequality with ease. So, we know how we can solve inequalities, but how do we graph inequality? Sounds complicated? Well, it is not. It includes relating two expressions using "greater than," "less than," "greater than or equal to," or "less than or equal to." The good thing about these inequalities is that these can be solved just like algebraic equations and all geometrical theorems apply on these inequalities. A statement of an order relationship in mathematics is what we term as inequality.
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