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?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality -3x ≤ 18?

Back

Divide both sides by -3 and flip the inequality sign: x ≥ -6.

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

What is the solution to the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides: 2x > 4, then divide by 2: x > 2.

Front

What is the graph of the inequality b ≤ -2?

Back

The graph includes all numbers less than or equal to -2, represented with a solid dot at -2 and a line extending to the left.

Front

What does 'no fewer than' mean in terms of inequalities?

Back

'No fewer than' translates to a 'greater than or equal to' inequality, e.g., 'no fewer than 5' means x ≥ 5.