Inequalities Solution sets

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

What does the symbol '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

How do you solve the inequality k < 7?

Back

To solve k < 7, you identify all values of k that are less than 7.

Front

Is 9 a solution for the inequality k < 7?

Back

No, because 9 is not less than 7.

Front

What is the solution set for the inequality x ≤ 9?

Back

The solution set is all integers less than or equal to 9, which includes {..., 7, 8, 9}.

Front

What is the solution set for the inequality x > 4?

Back

The solution set is all integers greater than 4, which includes {5, 6, 7, ...}.

Front

How do you represent the solution set of an inequality graphically?

Back

The solution set of an inequality can be represented on a number line with an open or closed circle and a shaded region.