Graphing inequalities

Front

What are inequalities?

Back

Inequalities are mathematical statements that compare two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the boundary line represent in graphing inequalities?

Back

The boundary line represents the values that make the inequality true. Points on the line are included if the inequality is ≤ or ≥.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary line, while non-strict inequalities (≤, ≥) do include it.

Front

How do you graph the inequality y < mx + b?

Back

Graph the line y = mx + b as a dashed line, then shade below the line.

Front

How do you graph the inequality y ≥ mx + b?

Back

Graph the line y = mx + b as a solid line, then shade above the line.

Front

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

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

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 graph of y > 2 look like?

Back

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

Front

What does the graph of y ≤ -3x + 4 look like?

Back

The graph is a solid line with a slope of -3 and a y-intercept of 4, with shading below the line.