Intro to Inequalities

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?

Back

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

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 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

If x ≥ 0, what does this tell us about x?

Back

It tells us that x is either zero or a positive number.

Front

Is x = 10 a solution for x > 10?

Back

No, because 10 is not greater than 10.

Front

If x < 5, what are some possible values for x?

Back

Possible values for x include 4, 3, 2, 1, 0, and negative numbers.

Front

What is the solution set for the inequality x > 12?

Back

The solution set includes all numbers greater than 12.

Front

How can you represent the inequality x ≤ 3 on a number line?

Back

You would draw a closed circle on 3 and shade to the left.