Solving One Step Inequalities

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 '>' 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, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

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 inequalities?

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 2x < 10?

Back

To solve 2x < 10, divide both sides by 2: x < 5.

Front

What is the solution to the inequality -3y > 12?

Back

To solve -3y > 12, divide both sides by -3 and reverse the inequality: y < -4.

Front

If a chef has 7 pounds of potatoes and needs more than 14 pounds, what inequality represents this situation?

Back

x + 7 > 14, where x is the amount of potatoes the chef needs to buy.

Front

What is the solution to the inequality 5 - x ≤ 2?

Back

To solve 5 - x ≤ 2, subtract 5 from both sides: -x ≤ -3, then multiply by -1 and reverse the inequality: x ≥ 3.

Front

How do you represent the statement 'a number is at least 10'?

Back

The inequality is x ≥ 10.