Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What is 'and' notation in inequalities?

Back

'And' notation is used to combine two inequalities that must both be true at the same time, such as x > -2 and x < 3.

Front

What is 'or' notation in inequalities?

Back

'Or' notation is used to combine two inequalities where at least one must be true, such as x < 3 or x > 5.

Front

What is sandwich notation in inequalities?

Back

Sandwich notation expresses a range of values, such as 4 < x < 12, indicating that x is greater than 4 and less than 12.

Front

How do you solve the inequality x < -4?

Back

The solution includes all numbers less than -4, such as -5, -6, etc.

Front

How do you solve the inequality 6 < x < 10?

Back

The solution includes all numbers greater than 6 and less than 10, such as 7, 8, 9.

Front

What is the solution set for x > 4 and x < 12?

Back

The solution set includes all numbers between 4 and 12, not including 4 and 12.

Front

What does the graph of x < 3 look like?

Back

The graph shows all numbers to the left of 3 on a number line, with an open circle at 3.