Exploring the Basics of Inequalities

This video tutorial covers the basics of inequalities, explaining the meaning of different symbols and how to represent inequalities on a number line. It starts with an introduction to inequality symbols, including less than, more than, and their variations with 'or equal to'. The tutorial also discusses using negative numbers in inequalities and how to handle compound inequalities with multiple signs. Finally, it demonstrates how to represent these inequalities on number lines, providing visual examples and explanations.

What does the symbol '<' represent in inequalities?

• Equal to

• Not equal to

• Less than

• Greater than

If x > 10, which of the following could be a value of x?

• 12

• 10

• 9

• 8

How can you remember the 'less than' symbol?

• It looks like an S

• It looks like an E

• It looks like a G

• It looks like an L

What does the symbol '≤' mean?

• Less than or equal to

• Greater than

• Less than

• Greater than or equal to

If x ≥ 10, which of the following could be a value of x?

• 9

• 7

• 10

• 8

Which of the following is equivalent to 'x < 10'?

• 10 > x

• x > 10

• x = 10

• 10 < x

If x > -5, which of the following could be a value of x?

• -8

• -4

• -7

• -6

What does the compound inequality '3 < x ≤ 7' mean?

• x is between 3 and 7, excluding both 3 and 7

• x is between 3 and 7, including both 3 and 7

• x is between 3 and 7, including 7

• x is between 3 and 7, including 3

In the inequality '3 < x ≤ 7', which values can x take if x is a whole number?

• 4, 5, 6, 7

• 3, 4, 5, 6, 7

• 4, 5, 6

• 3, 4, 5, 6

How do you represent 'x ≤ 7' on a number line?

• A filled circle at 3

• A filled circle at 7

• An empty circle at 7

• An empty circle at 3