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?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

How do you represent 'x is less than 5' in inequality form?

Back

x < 5

Front

What is the solution to the inequality x + 3 > 7?

Back

x > 4

Front

When graphing the inequality x < 2, what type of circle is used?

Back

An open circle is used.

Front

What is the solution to the inequality 2m - 4 ≤ 10?

Back

m ≤ 7.

Front

How do you solve the inequality 3x + 1 > 10?

Back

Subtract 1 from both sides to get 3x > 9, then divide by 3 to find x > 3.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary points, while non-strict inequalities (≤, ≥) do include them.