Solutions to Inequalities

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 inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, a ≥ 11 means a is greater than or equal to 11.

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you represent the inequality 'x > 5' on a number line?

Back

Draw an open circle at 5 and shade to the right to indicate all numbers greater than 5.

Front

How do you represent the inequality 'x ≤ -2' on a number line?

Back

Draw a closed circle at -2 and shade to the left to indicate all numbers less than or equal to -2.

Front

What is the solution set for the inequality 'k < 3'?

Back

The solution set includes all numbers less than 3.

Front

If 'a ≥ 11', what is the smallest value of 'a'?

Back

The smallest value of 'a' is 11.

Front

What is the solution set for the inequality 'r ≥ -6'?

Back

The solution set includes all numbers greater than or equal to -6.