Homework Graphing Inequalities and Solutions

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

What type of line is used for inequalities with '≥' or '≤'?

Back

A solid line is used for inequalities with '≥' or '≤'.

Front

What type of line is used for inequalities with '>' or '<'?

Back

A dotted line is used for inequalities with '>' or '<'.

Front

How do you determine if a graph is shaded above or below the line?

Back

If the inequality is 'y >' or 'y ≥', the graph is shaded above the line. If the inequality is 'y <' or 'y ≤', the graph is shaded below the line.

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

Back

Front

What does it mean if a graph is shaded above the line?

Back

It means that the solutions to the inequality are all the points above the line, indicating that the y-values are greater than the corresponding x-values.

Front

How can you check if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.