Algebra 1: Chapter 5 Inequalities Test

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 4 means x is greater than 4.

Front

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

Back

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

Front

How do you solve the inequality 4 - 2x < 14?

Back

Subtract 4 from both sides: -2x < 10. Then divide by -2 (remember to flip the inequality): x > -5.

Front

What is the solution to the inequality 3x - 10 > 2?

Back

Add 10 to both sides: 3x > 12. Then divide by 3: x > 4.

Front

How do you solve the inequality -3(x + 2) < 21?

Back

Distribute -3: -3x - 6 < 21. Add 6 to both sides: -3x < 27. Divide by -3 (flip the inequality): x > -9.

Front

What is 'and' notation in inequalities?

Back

'And' notation combines two inequalities that must both be true. For example, -2 < x < 3 means x is greater than -2 and less than 3.

Front

What is 'sandwich' notation in inequalities?

Back

'Sandwich' notation expresses a range of values. For example, 4 < x < 12 means x is between 4 and 12.

Front

How do you write the inequality -2 < x < 3 in 'and' notation?

Back

x > -2 and x < 3.

Front

How do you write the inequality x > 4 and x < 12 in sandwich notation?

Back

4 < x < 12.