Solving Systems of Linear Inequalities Answers

Which ordered pairs make both inequalities true? Check all that apply.

What did you include in your response? Check all that apply.

Which equation represents an inequality in the system of inequalities shown in the graph?

(–4, –2)✔ (–1, –2)(1, 4)(2, 2)

Graphically, a point is a solution to a system of two inequalities if and only if the point

Which linear inequality will not have a shared solution set with the graphed linear inequality?

Which is the graph of the system x + 3y > –3 and y < x + 1?

Which system of inequalities with a solution point is represented by the graph?

Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply.The slope of one boundary line is 2.Both boundary lines are solid.A solution to the system is (1, 3).Both inequalities are shaded below the boundary lines.The boundary lines intersect.

Mr. Hernandez plotted the point (1, 1) on Han’s graph of y ≤ x + 2. He instructed Han to add a second inequality to the graph that would include the solution (1, 1).Which equation could Miguel write?

Determine the relationship between the point (1, –5) and the given system of inequalities.y ≤ 3x + 2y > –2x – 3Explain your answer both algebraically and graphically.