Solving One-Step 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 an inequality?

Back

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

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

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

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

What is the solution to the inequality a ≥ -104?

Back

The solution indicates that a can be any number greater than or equal to -104.

Front

What is the solution to the inequality m > -2?

Back

The solution indicates that m can be any number greater than -2.

Front

How do you represent the inequality a ≥ 11 on a number line?

Back

Draw a closed circle on 11 and shade to the right to indicate all numbers greater than or equal to 11.