Solving 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

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality 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

What does it mean if an inequality has infinitely many solutions?

Back

It means that there are countless values of the variable that satisfy the inequality.

Front

How do you isolate a variable in an inequality?

Back

You perform the same operations on both sides of the inequality, just like with equations, but you must reverse the inequality sign if you multiply or divide by a negative number.

Front

Back

Infinitely Many Solutions.

Front

Back

No solution.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign reverses direction.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or' to connect them.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.