Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you graph the inequality x ≤ -2?

Back

To graph x ≤ -2, draw a vertical line at x = -2 and shade to the left, including the line since it is 'less than or equal to'.

Front

How do you graph the inequality y < -2x?

Back

To graph y < -2x, first graph the line y = -2x (dashed line) and shade below the line.

Front

What is the solution set of the inequality 2x - 3y < 12?

Back

The solution set includes all points (x, y) that lie below the line represented by the equation 2x - 3y = 12.

Front

What is the slope-intercept form of a linear inequality?

Back

The slope-intercept form of a linear inequality is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.