Solutions for 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 '<' mean?

Back

The symbol '<' means 'less than'. For example, 'a < b' means 'a is less than b'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 'a > b' means 'a is greater than b'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, 'a ≤ b' means 'a is less than or equal to b'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, 'a ≥ b' means 'a is greater than or equal to b'.

Front

How do you represent the solution set of an inequality?

Back

The solution set of an inequality can be represented on a number line, showing all the values that satisfy the inequality.

Front

Is 0 a solution for the inequality x > -1?

Back

Yes, 0 is a solution because 0 is greater than -1.

Front

Is -4 a solution for the inequality x < -2?

Back

Yes, -4 is a solution because -4 is less than -2.

Front

What is the solution set for the inequality x ≤ 3?

Back

The solution set includes all numbers less than or equal to 3, such as ..., -1, 0, 1, 2, 3.

Front

If x > 5, which of the following is a solution? 6, 4, 5, 5.5

Back

6 and 5.5 are solutions because they are greater than 5.