Unit 7 One-Variable Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, 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 of the inequality 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 of the inequality is smaller than the value on the right side.

Front

How do you solve the inequality 3x > 12?

Back

To solve 3x > 12, divide both sides by 3: x > 4.

Front

What is the solution to the inequality 2x + 3 < 11?

Back

To solve 2x + 3 < 11, subtract 3 from both sides: 2x < 8, then divide by 2: x < 4.

Front

If x = 5, is the inequality 10x < 30 true or false?

Back

True, because 10(5) = 50, and 50 < 30 is false.

Front

What is the solution to the inequality x/4 < 14.4?

Back

Multiply both sides by 4: x < 57.6.

Front

How can you represent the number of players needed in an online game with an inequality?

Back

If p is the number of players needed, and 5 players have already joined, the inequality is p + 5 > 8.

Front

What does the inequality p > 3 represent in the context of players needed?

Back

It means that more than 3 additional players are needed to reach the minimum of 8 players.

Front

What is the inequality for a trampoline mat area of no more than 60 square feet with a width of 6 feet?

Back

The inequality is L < 10, where L is the length of the mat.