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?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

How do you solve the inequality -8x < 48?

Back

To solve -8x < 48, divide both sides by -8, which reverses the inequality: x > -6.

Front

What is the solution to the inequality 6 > x?

Back

The solution to the inequality 6 > x is x < 6.

Front

How do you solve the inequality 7b - 3 < 11?

Back

To solve 7b - 3 < 11, add 3 to both sides to get 7b < 14, then divide by 7 to find b < 2.

Front

What is the solution to the inequality 8m - 9 > 71?

Back

To solve 8m - 9 > 71, add 9 to both sides to get 8m > 80, then divide by 8 to find m > 10.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 3 means y is less than or equal to 3.

Front

What is a solution set in inequalities?

Back

A solution set is the set of all values that satisfy the inequality.