Plotting Inequalities on Number Lines

The video tutorial explains how to plot inequalities on number lines, providing a visual representation of the values a variable can take. It covers the use of open and closed circles to denote whether a number is included in the inequality. Examples include plotting x > 3, x ≥ 3, x < 8, x ≤ 8, and inequalities involving negative numbers. The tutorial also addresses combined inequalities, demonstrating how to represent them on number lines. The video concludes with a summary of the key concepts and encourages practice through assessments.

What does an open circle on a number line indicate when plotting inequalities?

• The inequality is less than or equal to.

• The number is included in the inequality.

• The number is not included in the inequality.

• The inequality is more than or equal to.

How do you represent 'x is more than or equal to 3' on a number line?

• With a closed circle at 3.

• With an open circle at 3.

• With no circle at 3.

• With a line extending to the left from 3.

When plotting 'x is less than 8', which direction does the line extend?

• To the right of 8.

• Both directions from 8.

• It does not extend.

• To the left of 8.

How is 'x is less than -9' represented on a number line?

• With a closed circle at -9 and a line to the left.

• With an open circle at -9 and a line to the left.

• With a closed circle at -9 and a line to the right.

• With an open circle at -9 and a line to the right.

What does a closed circle on a number line signify?

• The number is not included in the inequality.

• The number is included in the inequality.

• The inequality is less than.

• The inequality is more than.

In the inequality '5 < x ≤ 8', which numbers can x be?

• Any number less than 5.

• Any number between 5 and 8, including both 5 and 8.

• Any number between 5 and 8, including 8 but not 5.

• Any number greater than 8.

What does it mean if x is more than 2 or less than or equal to 0?

• x can be any number greater than 2 or less than or equal to 0.

• x can be any number between 0 and 2.

• x cannot be any number.

• x can only be 0 or 2.