Graph/solve/translate Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality 10 < 3x + 19?

Back

Subtract 19 from both sides: 10 - 19 < 3x, which simplifies to -9 < 3x. Then divide by 3: -3 < x or x > -3.

Front

How do you solve the inequality -2(x + 2) < 14?

Back

Distribute -2: -2x - 4 < 14. Add 4 to both sides: -2x < 18. Divide by -2 (remember to flip the inequality): x > -9.

Front

How do you express 'Bob needs to earn more than $550' as an inequality?

Back

The inequality is expressed as: x > 550, where x represents Bob's earnings.

Front

Back

Multiply both sides by 5: x < -5.

Front

How do you solve the inequality -7 + 10z > -27?

Back

Add 7 to both sides: 10z > -20. Then divide by 10: z > -2.