Inequalities and Their Solutions

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to a specified number.

Front

How do you solve the inequality x + 3 ≥ 10?

Back

Subtract 3 from both sides: x ≥ 7.

Front

What is the solution set for the inequality x < 5?

Back

The solution set includes all real numbers less than 5.

Front

If you need at least 50 points to pass, and you scored 39, how many more points do you need?

Back

You need at least 11 more points, so the inequality is x ≥ 11.

Front

What does it mean to say 'no more than' in an inequality?

Back

'No more than' indicates a maximum limit, represented by the symbol '≤'.

Front

If a roller coaster requires a height of at least 48 inches, what inequality represents this?

Back

The inequality is x ≥ 48.

Front

How would you express 'less than 5 hours' in inequality form?

Back

The inequality is x < 5.

Front

What is the graph of the inequality 2 > p?

Back

The graph shows all values to the left of 2 on a number line, not including 2.