Inequalities: Solve and Graph

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality -3n + 8 < 26?

Back

Subtract 8 from both sides: -3n < 18. Then divide by -3 (remember to flip the inequality): n > -6.

Front

What is the solution to the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n. Then divide by 8: 9 ≤ n or n ≥ 9.

Front

How do you graph the inequality x ≤ 0 on a number line?

Back

Draw a solid dot on 0 and shade to the left.

Front

How do you graph the inequality x > -2 on a number line?

Back

Draw an open dot on -2 and shade to the right.

Front

What is the solution to the inequality 12 - 2x < 16?

Back

Subtract 12 from both sides: -2x < 4. Then divide by -2 (flip the inequality): x > -2.