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

How do you write an inequality for a situation?

Back

Identify the quantities involved, determine the relationship (greater than, less than), and express it using variables and constants.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

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 first step in writing an inequality for a word problem?

Back

Identify the maximum or minimum value and the variable that represents the unknown quantity.

Front

In the inequality 1.75 + 0.65m < 10, what does 'm' represent?

Back

In this inequality, 'm' represents the number of miles driven.

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality represents a range of values that satisfy the condition.