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 real-world scenario?

Back

Identify the quantities involved, assign variables, and express the relationship using an inequality symbol.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

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

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

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 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 or less than the other.

Front

How can you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is a variable in the context of inequalities?

Back

A variable is a symbol (often x or y) that represents an unknown value in an inequality.