E Inequalities on a number Line

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 in inequalities?

Back

The symbol '>' represents 'greater than' in inequalities.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' represents 'less than' in inequalities.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' represents 'greater than or equal to' in inequalities.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' represents 'less than or equal to' in inequalities.

Front

How do you represent the inequality 'x is greater than -1' on a number line?

Back

You would draw an open circle at -1 and shade to the right, indicating all numbers greater than -1.

Front

How do you represent the inequality 'x is less than or equal to 1/2' on a number line?

Back

You would draw a closed circle at 1/2 and shade to the left, indicating all numbers less than or equal to 1/2.

Front

What is the solution set for the inequality 'x ≤ 2'?

Back

The solution set includes all real numbers less than or equal to 2.

Front

How do you solve the inequality 'x < 11'?

Back

To solve 'x < 11', you identify all numbers less than 11, which can be represented on a number line.

Front

What is the solution set for the inequality 'x ≤ -10'?

Back

The solution set includes all real numbers less than or equal to -10.