Graphing Linear Inequalities

Click on the correct word(s) to fill in the blanks and complete your notes Solving and graphing linear inequalities is similar to solving and graphing linear equations.There are 2 differences to be aware of other than using the <, >, ≥ , or ≤ symbols.The first difference is determining what type of line to graph.A dashed lineis used when the inequality uses the < and > symbols.A solid lineis used when the inequality uses the ≥ and ≤.The second difference is, just like graphing inequalities on a number line, we must shade on the graph to visually signify all of the possible solutions to the inequality.To determine what side of the line the line to shade, we use a test pointthat does not lie on the line.We substitute the x and y coordinates into our original inequality. If the statement then holds true, we shade that side of the graph containing the test point.If the statement does not hold true, we shade the other side of the graph. Linear Equations vs Linear Inequalities Identify the differences between the 2 graphs and functions below by using the following key words.EqualsLess than or equal toline of solutionsshaded area of solutions Equals Less than or equal to shaded area of solutions line of solutions Using the given inequality, sort the points out as possible solutions and not possible solutions.-4y>2x+4 Possible (-6, 1) (-2, -2) (-1, -1) (-2.1, 0) (-8, 2) Not Possible (-2, 0) (0, 0) (-1, -0.5) (-1.9, 0) (10, 10) Match the Inequality to its matching inequality (solved for y) x-y>-1 y0 y-5 y>-2x+5 3x-3y≤3 y≥x-1 Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality. Sketch the graph of the linear inequality.