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 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 is the solution set of an inequality?

Back

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

Front

How do you graph an inequality?

Back

To graph an inequality, first graph the corresponding equation as a line, then shade the region that represents the solution set.

Front

What does it mean if a point is on the boundary line of an inequality?

Back

If a point is on the boundary line, it is included in the solution set if the inequality is '≤' or '≥'.

Front

What does it mean if a point is not on the boundary line of an inequality?

Back

If a point is not on the boundary line, it is not included in the solution set.

Front

What is the difference between < and ≤?

Back

The symbol < means 'less than' and does not include the boundary, while ≤ means 'less than or equal to' and includes the boundary.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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 into the inequality and check if the statement is true.