Writing Inequalities with variables on both sides

Front

What is an inequality?

Back

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

Front

What does it mean to write an inequality with variables on both sides?

Back

It means to create an inequality where the variable appears in both expressions being compared.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation.

Front

What is the significance of the membership fee in rental inequalities?

Back

The membership fee is a fixed cost that must be added to the variable costs when comparing total charges.

Front

How do you represent a situation where one cost is less than another using an inequality?

Back

You write an inequality where the total cost of one option is less than the total cost of the other option.

Front

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

Back

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

Front

What is the first step in solving the inequality 10 + 5d < 60 + 2d?

Back

The first step is to subtract 2d from both sides to begin isolating the variable d.

Front

In the inequality 3.33v > 2v + 10, what does v represent?

Back

In this context, v represents the number of games rented.

Front

What is the purpose of using inequalities in real-life situations?

Back

Inequalities help compare costs, budgets, and other quantities to make informed decisions.

Front

How do you interpret the inequality 1.75 + 0.65m < 10?

Back

This inequality means that the total cost of a taxi ride (flat rate plus per mile charge) must be less than $10.