Question

Please help Which of the following inequalities is graphed on the coordinate plane?

Answer 1

Answer:

The inequality which represents the graph is y ≤ -2x + 1 ⇒ A

Step-by-step explanation:

To solve the question you must know some facts about inequalities

• If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line

• If the sign of inequality is > or <, then it represents graphically by a dashed line

• If the sign of inequality is > or ≥, then the area of the solutions should be over the line

• If the sign of inequality is < or ≤, then the area of the solutions should be below the line

Let us study the graph and find the correct answer

∵ The line represented the inequality is solid

∴ The sign of inequality is ≥ or ≤

→ That means the answer is A or B

∵ The shaded area is the area of the solutions of the inequality

∵ The shaded area is below the line

∴ The sign of inequality must be ≤

→ That means the correct answer is A

∴ The inequality which represents the graph is y ≤ -2x + 1