Number Line Inequalities Representation

The video tutorial explains how inequalities are represented on number lines using hollow and shaded circles. It covers the meaning of these symbols and provides examples of inequalities with different values. The tutorial also includes typical questions and solutions to help understand the concept better.

What does a hollow circle on a number line represent in terms of inequalities?

• Greater than

• Less than or equal to

• Equal to

• Greater than or equal to

If an arrow on a number line points to the right from a hollow circle, what does it indicate?

• X is greater than the number

• X is less than the number

• X is less than or equal to the number

• X is equal to the number

What does a shaded circle on a number line indicate?

• Greater than

• Greater than or equal to

• Less than

• Equal to

If a number line has a shaded circle at -2, what does it mean?

• X is greater than or equal to -2

• X is greater than -2

• X is less than -2

• X is less than or equal to -2

What does it mean when there are two circles on a number line, one hollow and one shaded?

• X is equal to both values

• X is between two values, including one and excluding the other

• X is between two values, excluding both

• X is between two values, including both

If a number line shows a hollow circle at 2 and a shaded circle at -1, what does it represent?

• X is greater than 2 and less than -1

• X is less than or equal to 2 and greater than -1

• X is greater than or equal to 2 and less than -1

• X is less than 2 and greater than or equal to -1

How would you represent 'X is larger than -3' on a number line?

• Shaded circle at -3 with an arrow to the left

• Hollow circle at -3 with an arrow to the right

• Shaded circle at -3 with an arrow to the right

• Hollow circle at -3 with an arrow to the left

What does a hollow circle at 0 with an arrow pointing right signify?

• X is greater than 0

• X is less than or equal to 0

• X is less than 0

• X is equal to 0

How would you depict 'X is smaller than 3' on a number line?

• Hollow circle at 3 with an arrow to the right

• Shaded circle at 3 with an arrow to the right

• Shaded circle at 3 with an arrow to the left

• Hollow circle at 3 with an arrow to the left

What does a shaded circle at 4 with an arrow pointing right indicate?

• X is greater than or equal to 4

• X is less than 4

• X is greater than 4

• X is less than or equal to 4