Inequalities Review

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 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 represent the inequality 'b ≤ -2' on a number line?

Back

You draw a solid dot at -2 and shade to the left, indicating all numbers less than or equal to -2.

Front

What type of dot is used when graphing 'x < 4'?

Back

An open dot is used when graphing 'x < 4' to indicate that 4 is not included.

Front

How do you graph the inequality '6 > x'?

Back

You would graph it with an open dot at 6 and shade to the left, indicating all numbers less than 6.

Front

What does the inequality 'x ≥ -4' represent on a number line?

Back

It represents a solid dot at -4 with shading to the right, indicating all numbers greater than or equal to -4.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than (not including the number), while '≥' means greater than or equal to (including the number).