Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides: 2x > 4. Then divide by 2: x > 2.

Front

What is the solution to the inequality 5x ≤ 20?

Back

Divide both sides by 5: x ≤ 4.

Front

If r > 48, what does this mean in a real-world context?

Back

It means that the value of r must be greater than 48, such as a height requirement to ride a roller coaster.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

What is the solution to the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides: -2h > 24. Then divide by -2 (remember to flip the inequality): h < -12.