Graphing Systems of Two-Variable Inequalities

What is the first step suggested to solve the system of inequalities?

• Use a calculator to find the solution.

• Solve each inequality algebraically.

• Graph the solution sets for each inequality.

• Substitute values into the inequalities.

What is the y-intercept of the line y = 2x + 1?

• 2

• 3

• 1

• 0

What does the slope of 2 in the equation y = 2x + 1 indicate?

• For every 1 unit increase in x, y increases by 2 units.

• For every 2 units increase in x, y increases by 1 unit.

• For every 1 unit increase in x, y decreases by 2 units.

• For every 2 units increase in x, y decreases by 1 unit.

Which region represents the solution set for y ≥ 2x + 1?

• To the left of the line y = 2x + 1

• On the line y = 2x + 1

• Above the line y = 2x + 1

• Below the line y = 2x + 1

What is the y-intercept of the line y < 2x - 5?

• -4

• -3

• -2

• -5

Why is the line y < 2x - 5 drawn as a dotted line?

• Because it is a less than or equal to inequality.

• Because it is a strict inequality and does not include the line itself.

• Because it is a greater than inequality.

• Because it is a greater than or equal to inequality.

What is the relationship between the lines y = 2x + 1 and y < 2x - 5?

• They are the same line.

• They are perpendicular.

• They are parallel.

• They intersect at one point.

What conclusion can be drawn about the solution sets of the first two inequalities?

• They overlap completely.

• They partially overlap.

• They do not overlap at all.

• They are identical.

What does the third inequality x > 1 represent?

• All points on the line x = 1

• All points to the left of x = 1

• All points below the line x = 1

• All points to the right of x = 1

What is the final conclusion about the solution set of the system of inequalities?

• The solution set is infinite.

• There is no solution.

• There are multiple solutions.

• There is a unique solution.