Writing Equations and Inequalities (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, greater than or equal to, or less than or equal to the other.

Front

How do you represent 'three times a number minus two is less than the number plus ten' as an inequality?

Back

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

Back

Front

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

Back

The first step is to get all variable terms on one side and constant terms on the other side.

Front

What does it mean when an inequality has no solution?

Back

It means that there is no value for the variable that can satisfy the inequality.

Front

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

Back

You can check by substituting the solution back into the original inequality to see if it holds true.

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 than or less than another.

Front

How do you represent 'the Rug Store charges more than the Magic Carpet' as an inequality?

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