Graphing Inequality Solutions

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. For example, a > 5 means 'a is greater than 5'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, b < 3 means 'b is less than 3'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, c ≥ 7 means 'c is greater than or equal to 7'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, d ≤ 2 means 'd is less than or equal to 2'.

Front

How do you graph the inequality a ≥ 11?

Back

To graph a ≥ 11, draw a solid dot on 11 and shade to the right, indicating all values greater than or equal to 11.

Front

How do you graph the inequality a < 11?

Back

To graph a < 11, draw an open dot on 11 and shade to the left, indicating all values less than 11.

Front

What is the solution set of the inequality 2n + 4 < 16?

Back

First, solve for n: 2n < 12, so n < 6. The graph will have an open dot at 6 and shade to the left.

Front

What inequality does the number line graph with an open dot at -4 and shading to the left represent?

Back

The graph represents the inequality x < -4.

Front

Back