Algebra Inequalities

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

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: 3x - 5 < 10

Back

x < 5.

Front

Solve the inequality: -2h + 4 ≥ 10

Back

h ≤ -3.

Front

What is the solution set for the inequality x > 7?

Back

The solution set includes all real numbers greater than 7.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, 'at least 15' is written as x ≥ 15.

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented by the symbol '≤'. For example, 'no more than 12' is written as x ≤ 12.

Front

Solve the inequality: 5x + 3 > 18

Back

x > 3.