Graphing Inequalities

What does a dashed line indicate in graphing inequalities?

• A dashed line indicates that the points on the line are included in the solution set (for inequalities like ≤ or ≥).

• A dashed line indicates that the points on the line are not included in the solution set (for inequalities like < or >).

• A dashed line indicates that the line represents a constant value in the solution set.

• A dashed line indicates that the inequality is always true for all values.

How do you graph the inequality y < -x + 1?

• Graph the line y = -x + 1 with a dashed line and shade below the line.

• Graph the line y = -x + 1 with a solid line and shade above the line.

• Graph the line y = -x + 1 and do not shade any area.

• Graph the line y = -x + 1 and shade the line itself.

What does the inequality y < 3x + 2 mean?

• It means all points above the line y = 3x + 2, including the line itself.

• It means all points below the line y = 3x + 2, excluding the line itself.

• It means all points on the line y = 3x + 2 only.

• It means all points below the line y = 3x + 2, including the line itself.

What is the difference between y > 2 and y ≥ 2?

• y > 2 includes the line y = 2, while y ≥ 2 excludes it.

• y > 2 means all points below the line y = 2, while y ≥ 2 includes the line.

• y > 2 means all points above the line y = 2, excluding the line; y ≥ 2 includes the line y = 2.

• There is no difference between y > 2 and y ≥ 2.

What is the solution set for the inequality x ≥ 2?

• The solution set includes all points to the right of the line x = 2, including the line itself.

• The solution set includes all points to the left of the line x = 2, excluding the line itself.

• The solution set includes only the point x = 2.

• The solution set includes all real numbers.

What happens to the inequality sign when you multiply or divide by a negative number?

• The inequality sign remains the same.

• The inequality sign must be flipped when multiplying or dividing both sides by a negative number.

• The inequality sign is ignored in such cases.

• The inequality sign is replaced with an equal sign.

How do you determine if a point is a solution to an inequality?

• Substitute the point's coordinates into the inequality; if the inequality holds true, the point is a solution.

• Graph the inequality and check if the point lies within the shaded region.

• Calculate the distance from the point to the line of the inequality.

• Evaluate the point's coordinates and compare them to the inequality's boundary values.

What does the inequality y ≥ -3 represent on a graph?

• The graph includes all points below the line y = -3, excluding the line itself, which is dashed.

• The graph includes all points above the line y = -3, including the line itself, which is solid.

• The graph includes only the points on the line y = -3, excluding all others.

• The graph includes all points above the line y = -3, excluding the line itself, which is dashed.

What is the graph of y > 2?

• A dashed horizontal line at y = 2, with shading above the line.

• A solid horizontal line at y = 2, with shading below the line.

• A dashed vertical line at x = 2, with shading to the right of the line.

• A solid vertical line at x = 2, with shading to the left of the line.

What does the inequality y ≤ 3 represent on a graph?

• The graph includes all points above the line y = 3, excluding the line itself, which is dashed.

• The graph includes all points below the line y = 3, including the line itself, which is solid.

• The graph includes only the points on the line y = 3, excluding all others.

• The graph includes all points above the line y = 3, including the line itself, which is solid.