Writing Inequalities with Variables on Both Sides

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 equal to the other.

Front

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

Back

The symbol '>' means 'greater than'.

Front

How do you write an inequality for a situation where one cost is more than another?

Back

You express it as 'Cost A > Cost B'.

Front

What is the first step in solving an inequality with variables on both sides?

Back

Combine like terms on both sides of the inequality.

Front

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

Back

The symbol '<' means 'less than'.

Front

How do you isolate a variable in an inequality?

Back

You perform the same operations on both sides of the inequality to keep it balanced.

Front

What is the solution to the inequality 3x + 5 < 20?

Back

x < 5.

Front

What does it mean when an inequality has no solution?

Back

It means that there are no values for the variable that can satisfy the inequality.

Front

How can you check if a solution to an inequality is correct?

Back

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

Front

What is the difference between '≥' and '>' in inequalities?

Back

'≥' means 'greater than or equal to', while '>' means 'greater than' only.