GCSE Maths - What are Inequalities? (Inequalities Part 1) #56

This video tutorial covers the basics of inequalities, explaining the different symbols used to represent them and how to interpret these symbols. It discusses the less than, more than, less than or equal to, and more than or equal to symbols, providing tips for remembering their meanings. The tutorial also explores how to work with negative numbers in inequalities and how to handle compound inequalities with multiple conditions. Finally, it demonstrates how to represent inequalities on a number line, including when to fill in circles to indicate inclusive values.

Which symbol is used to indicate that a value is less than another?

• =

• >

• <

• ≠

What does the symbol '≤' represent in inequalities?

• More than

• More than or equal to

• Less than

• Less than or equal to

If x is less than 10, which of the following is equivalent?

• 10 is more than x

• 10 is less than x

• x is more than 10

• x equals 10

Which of the following values could x be if x is less than -5?

• -4

• -5

• -5.5

• 0

In a compound inequality, what does '3 < x ≤ 7' mean?

• x is not between 3 and 7

• x is between 3 and 7, including 7

• x is exactly 3 or 7

• x is between 3 and 7, including 3

How do you represent that x can be equal to a number on a number line?

• Leave the circle empty

• Draw a triangle

• Fill in the circle

• Use a square

For the inequality '-3 ≤ x < 4', which circle should be filled on the number line?

• Neither circle

• Circle above -3

• Circle above 4

• Both circles