6th Grade Advanced Inequalities Test

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, or not equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

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 in inequalities?

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 + 5 < 20?

Back

Subtract 5 from both sides: 3x < 15. Then divide by 3: x < 5.

Front

What is the solution set for the inequality x + 7 ≥ 10?

Back

Subtract 7 from both sides: x ≥ 3. The solution set is all numbers greater than or equal to 3.

Front

How do you graph the inequality x < 4 on a number line?

Back

Draw a number line, place an open circle on 4, and shade to the left to indicate all numbers less than 4.

Front

What is the meaning of the solution x > 6?

Back

It means that x can be any number greater than 6.

Front

How do you write an inequality for the statement 'a number is at least 10'?

Back

You write it as x ≥ 10.