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Sagot :
Answer:
1. The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.
2.
Step 1: Always start by isolating the variable y on the left side of the inequality.
Step 2: Change the inequality to equality symbol. For now, you will deal with a line.
Step 3: Graph the boundary line from step 2 in the XY-XY−plane. The following are the three common methods that you can use to graph a line. It doesn’t matter which one you choose.
Step 4: The last step is to shade one side or region of the boundary line.
Step 5: Use this optional step to check or verify if you have correctly shaded the side of the boundary line.
3.
Read through the entire problem.
Highlight the important information and key words that you need to solve the problem.
Identify your variables.
Write the equation or inequality.
Solve.
Write your answer in a complete sentence.
Check or justify your answer.
Answer:
1. Linear inequalities include a dashed line if they are greater than or less than but not equal to. While, linear equation include a solid line in every situation.
2. Steps in Graphing Linear Inequalities
Step 1 : Solve the inequality for y.
Step 2 : Treat the inequality as a linear equation and graph the line as either a solid line or a
dashed line depending on the inequality sign.
a. If the inequality sign does not contain an equals sign (< or >) then draw the line as
a dashed line.
b. If the inequality sign does have an equals sign (≤ or ≥) then draw the line as a
solid line.
Step 3 : Shade the region that satisfies the inequality
Step 4 : Repeat steps 1 – 3 for each inequality
Step 5 : The solution set will be the overlapped region of all the inequalities.
(But for simple way "another way")
Steps in Graphing Linear Inequalities in Two Variables
Step 1: Solve the inequality for y.
Step 2: Graph the boundary line for the inequality .
Step 3: Shade the region that satisfies the inequality.
Step 4: Solve the second inequality for y.
Step 5: Graph the boundary line for the second inequality.
Step 6: Shade the region that satisfies the second inequality.
Step 7: The solution set will be the overlapped region.
3. I think you need analyze first the graph of an inequality in two variables is the set of points that represents all solutions to the inequality, which a linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. Then, boundary line is dashed for > and < and solid for ≤ and ≥.
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