Understanding Inequalities

The video introduces inequalities, explaining the symbols for greater than, less than, greater than or equal to, and less than or equal to. It provides examples of how these symbols are used in mathematical expressions and demonstrates how to represent inequalities on a number line. The video includes practice problems and encourages students to apply their understanding by graphing inequalities and identifying solutions.

Which symbol represents 'greater than'?

• ≥

• ≤

• >

• <

If X is greater than 10, which of the following could be a value of X?

• 10

• 8

• 9

• 10.1

What does the inequality X < 10 mean?

• X is less than 10

• X is equal to 10

• X is greater than or equal to 10

• X is greater than 10

On a number line, which direction would you draw the arrow for X > 6?

• Left

• Right

• Up

• Down

If X is less than 13, which of the following is NOT a possible value for X?

• 12

• 11

• 14

• 10

How do you represent that X can be equal to 8 on a number line?

• Draw a line through 8

• Color in the circle at 8

• Draw an arrow to 8

• Circle 8

For the inequality X ≥ 2, which of the following is a correct representation on a number line?

• Color in the circle at 2 and draw an arrow to the left

• Circle 2 and draw an arrow to the right

• Circle 2 and draw an arrow to the left

• Color in the circle at 2 and draw an arrow to the right

If X ≤ 25, which of the following is a possible value for X?

• 24

• 25.1

• 30

• 26

What inequality is represented if the circle at 19 is colored in and the arrow points to the right?

• X ≥ 19

• X > 19

• X ≤ 19

• X < 19

If the circle at -3 is colored in and the arrow points to the left, what is the inequality?

• X ≥ -3

• X > -3

• X ≤ -3

• X < -3