One-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

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

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side is larger than the value on the right side.

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side is smaller than the value on the right side.

Front

How do you represent a situation where a chef needs more than 14 pounds of potatoes if she already has 7 pounds?

Back

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

Front

What is the solution to the inequality 15 > -5 + z?

Back

The solution is z < 20.

Front

When solving the inequality 8y < -40, does the sign need to flip?

Back

No, the sign does not need to flip because you are dividing by a positive number.

Front

What is the solution to the inequality r - 14 ≥ 17?

Back

The solution is r ≥ 31.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

Front

What is the solution to the inequality x < -96?

Back

The solution is x < -96, meaning x can be any number less than -96.

Front

What is the first step in solving the inequality x + 5 > 10?

Back

The first step is to subtract 5 from both sides to isolate x.