Inequalities Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing 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 or equal to'. It indicates that the value on the left can be either less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be either greater than or equal to the value on the right.

Front

How do you represent a real-world situation with an inequality?

Back

To represent a real-world situation with an inequality, identify the quantities involved, determine the relationship between them, and express it using inequality symbols.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign.

Front

If 3x + 5 < 20, what is the first step to solve for x?

Back

Subtract 5 from both sides to get 3x < 15.

Front

What is the solution to the inequality 2x + 3 ≥ 11?

Back

Subtract 3 from both sides to get 2x ≥ 8, then divide by 2 to find x ≥ 4.

Front

How do you graph the solution of an inequality on a number line?

Back

To graph the solution of an inequality, use an open circle for '>' or '<' and a closed circle for '≥' or '≤', then shade the appropriate direction.

Front

What is a compound inequality?

Back

A compound inequality consists of two or more inequalities joined by 'and' or 'or', representing a range of values.

Front

What does the inequality x < 5 represent?

Back

The inequality x < 5 represents all values of x that are less than 5.