Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable, indicating how steep the line is.

Front

In the context of graphing inequalities, what does a dashed line indicate?

Back

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

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 ≤ or ≥ inequalities).

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is part of the solution set.

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

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How do you graph the inequality y > 2x + 1?

Back

Graph the line y = 2x + 1 with a dashed line and shade the area above the line.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) does not include the boundary, while 'greater than or equal to' (≥) includes the boundary.

Front

What does the term 'solution set' refer to in inequalities?

Back

The solution set refers to all the values that satisfy the inequality.