11.15 Opener Flashcard

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, or not equal to the other.

Front

How do you represent a situation with an inequality?

Back

You can represent a situation with an inequality by identifying the quantities involved and the relationship between them, then forming an inequality that reflects that relationship.

Front

What does the inequality 80 + 8x ≥ 176 represent in a real-world context?

Back

It represents the earnings of Adam, who earns a base salary of $80 per day plus $8 for each video game sold, and the condition that his total earnings on Thursday must be at least $176.

Front

What does the inequality x < -4 indicate on a number line?

Back

It indicates that the values of x are all less than -4, which are represented by all points to the left of -4 on the number line.

Front

How do you solve the inequality -Y/11 + 20 < 42?

Back

To solve it, first isolate Y by subtracting 20 from both sides, then multiply by -11 (remembering to reverse the inequality sign), leading to Y > -242.

Front

What is the purpose of using variables in inequalities?

Back

Variables in inequalities allow us to represent unknown quantities and express relationships between them, making it easier to analyze and solve real-world problems.

Front

How can you determine the minimum number of items needed in a situation like Jo's petition?

Back

You can set up an inequality based on the current amount and the desired total, then solve for the variable representing the number of items collected over time.

Front

What does the expression 520 + 6x ≥ 1000 represent?

Back

It represents Jo's situation where he currently has 520 signatures and wants to collect x signatures each week for 6 weeks to reach at least 1000 signatures.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality by performing inverse operations.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.