Graphing Inequalities

Front

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

Back

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

Front

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

Back

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

Front

What does a dashed line indicate in graphing inequalities?

Back

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

Front

What does a solid line indicate in graphing inequalities?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the graph of y > 2?

Back

The graph is a dashed horizontal line at y = 2, with shading above the line.