QSE2 Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you solve the inequality -4x ≤ 40?

Back

To solve -4x ≤ 40, divide both sides by -4. Remember to flip the inequality sign: x ≥ -10.

Front

What is the solution to the inequality 5 ≥ -5x?

Back

The solution is x ≥ -1, found by dividing both sides by -5 and flipping the inequality sign.

Front

If you can spend no more than 20 dollars, how is this represented in an inequality?

Back

This is represented as x ≤ 20, meaning you can spend 20 dollars or less.

Front

What does it mean to be at least 48 inches tall?

Back

It means you must be 48 inches tall or taller, represented as x ≥ 48.

Front

When solving an inequality, what happens to the sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides of the inequality by a negative number.

Front

What is the solution to the inequality -2x ≥ 22?

Back

To solve -2x ≥ 22, divide both sides by -2 and flip the sign: x ≤ -11.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.