How do you graph a linear inequality on the coordinate plane?

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How do you graph a linear inequality on the coordinate plane?

How to Graph a Linear Inequality

  1. Rearrange the equation so “y” is on the left and everything else on the right.
  2. Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
  3. Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).

How do you graph linear inequalities step by step?

  1. Step 1: Solve the inequality for y.
  2. Step 2: Graph the boundary line for the inequality.
  3. Step 3: Shade the region that satisfies the inequality.
  4. Step 4: Solve the second inequality for y.
  5. Step 5: Graph the boundary line for the second inequality.
  6. Step 6: Shade the region that satisfies the second inequality.

How do you solve linear equations by graphing?

To solve a system of linear equations by graphing

  1. Graph the first equation.
  2. Graph the second equation on the same rectangular coordinate system.
  3. Determine whether the lines intersect, are parallel, or are the same line.
  4. Identify the solution to the system.
  5. Check the solution in both equations.

What is the first step in graphing a linear inequality in two variables?

A linear inequality occurs when the equal sign in a linear equation is replaced with an inequality symbol. To graph a linear inequality in two variables, first graph the line as if it were a linear equation. Identify whether the inequality includes the “or equal to” aspect.

What is the graph of linear inequality called?

The graph of a linear inequality in one variable is a number line. Use an open circle for < and > and a closed circle for ≤ and ≥. The graph for x > -3. The graph for x ≥ 2. Inequalities that have the same solution are called equivalent.

Which is a correct first step in solving the inequality?

Answer: The first step in solving the given inequality is to use the distributive property and open the brackets, that is, -8x + 4 > 5 – 3x.

How to find the inequalities from a graph?

Graph the line. Note that the line is solid because the inequality sign is greater than or equal to.

  • Shade the solution set. Since y is greater than the expression,shade the side “above” the line.
  • Shade your graph.
  • Identify three points that are solutions to the inequality. This means that you can pick any three points that are in the shaded area.

    • How do you graph an inequality?

    How do you solve and graph inequalities step by step? Step 1: Always start by isolating the variable y on the left side of the inequality. Step 2: Change the inequality to equality symbol. Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. Step 4: The last step is to shade one side or region of the boundary line.

    What is graph of inequalities?

    Graphing an inequality is a useful way to visualize the range or region of values that satisfy the inequality. There are three basic steps for graphing one- and two-variable inequalities:

    How to graph inequalities?

    Graph the boundary line for the first inequality.

  • Use a test point to determine which half plane to shade.
  • Graph the boundary line for the second inequality.
  • Use a test point to determine which half plane to shade.
  • Analyze your system of inequalities and determine which area is shaded by BOTH inequalities.