Setting up Inequalities with variables on both sides from word P

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

What does it mean to have variables on both sides of an inequality?

Back

Having variables on both sides of an inequality means that the variable appears in both expressions being compared, requiring manipulation to isolate the variable.

Front

How do you solve an inequality with variables on both sides?

Back

To solve an inequality with variables on both sides, you rearrange the inequality to isolate the variable on one side, using inverse operations while maintaining the inequality's direction.

Front

What is the significance of the 'greater than' symbol (>) in inequalities?

Back

The 'greater than' symbol (>) indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

What does the 'less than or equal to' symbol (≤) represent?

Back

The 'less than or equal to' symbol (≤) indicates that the value on the left side is either less than or equal to the value on the right side.

Front

How can you represent a real-world scenario using an inequality?

Back

A real-world scenario can be represented using an inequality by defining variables for quantities and expressing relationships between them that involve limits or comparisons.

Front

What is the first step in solving the inequality 500x + 700 < 650x + 200?

Back

The first step is to subtract 500x from both sides to begin isolating the variable x.

Front

In the context of word problems, what does 'renting cost' refer to?

Back

'Renting cost' refers to a fixed fee charged for the use of an item or service, often in addition to a variable cost based on usage.

Front

What is the purpose of writing an inequality for a comparison of costs?

Back

The purpose of writing an inequality for a comparison of costs is to determine the conditions under which one option is more economical than another.

Front

How do you interpret the solution of an inequality in a real-world context?

Back

The solution of an inequality can be interpreted in a real-world context by identifying the range of values that satisfy the condition being analyzed.