IA: Inequalities Number lines

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 symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you represent the solution of an inequality on a number line?

Back

You use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Then shade the appropriate direction.

Front

Is 0.5 a solution for k > -6?

Back

Yes, because 0.5 is greater than -6.

Front

Is 6.8 a solution for p ≤ 7?

Back

Yes, because 6.8 is less than or equal to 7.

Front

What is the solution set for the inequality x < 3?

Back

The solution set includes all numbers less than 3.

Front

How do you graph the inequality r ≥ -6?

Back

Draw a number line, place a closed circle on -6, and shade to the right.