Inequalities

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

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

How do you express the inequality -2 < x < 3 in 'and' notation?

Back

x > -2 and x < 3.

Front

What is the solution set for the inequality x < -4?

Back

The solution set includes all numbers less than -4, such as -4.001, -5, -6.

Front

What is the solution set for the inequality 6 < x < 10?

Back

The solution set includes numbers greater than 6 and less than 10, such as 7, 8, and 9.

Front

How do you solve the inequality 4 - 2x < 14?

Back

First, subtract 4 from both sides to get -2x < 10. Then, divide by -2 (remember to flip the inequality sign) to get x > -5.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How can you represent the solution to the inequality x > 2 on a number line?

Back

You would draw an open circle at 2 and shade to the right to indicate all numbers greater than 2.