Solving multistep inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving multiple operations such as addition, subtraction, multiplication, or division.

Front

Back

Subtract 20 from both sides of the inequality.

Front

What operation must be reversed when multiplying or dividing both sides of an inequality by a negative number?

Back

The inequality sign must be reversed.

Front

Back

Add 6 to both sides of the inequality.

Front

Back

Subtract 10 from both sides, then multiply by -6 and reverse the inequality sign.

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Back

Front

What does it mean to 'undo' an operation in solving inequalities?

Back

To 'undo' an operation means to perform the inverse operation to isolate the variable.

Front

What is the importance of the inequality sign in multistep inequalities?

Back

The inequality sign indicates the relationship between the two sides of the inequality and must be preserved or reversed correctly during solving.

Front

How do you isolate a variable in an inequality?

Back

By performing inverse operations (addition, subtraction, multiplication, division) to both sides of the inequality.

Front

What happens to the inequality sign when you divide both sides by a negative number?

Back

The inequality sign reverses direction.