Exploring Inequalities in Math 6

This video tutorial covers solving inequalities, focusing on writing and representing solutions using number lines. It includes examples of graphing inequalities, applying them to real-world scenarios like menu item costs, and determining qualifications based on jump distances. The lesson concludes with a summary of key concepts, emphasizing the use of open and closed circles in graphing and the infinite nature of solutions.

What number could Henry be thinking of if it is less than 17?

• 17

• 18

• 16

• 19

How do you represent a number that is not included in the solution on a number line?

• Closed circle

• Open circle

• Arrow to the right

• Arrow to the left

If x is greater than 5, where would you draw the arrow on the number line?

• Above 5

• To the left of 5

• To the right of 5

• At 5

What does an open circle on a number line indicate?

• The number is included

• The number is not included

• The number is zero

• The number is negative

What is the maximum cost of a menu item on the children's menu if no item costs more than $8.50?

• $8.50

• $9.00

• $8.00

• $7.50

How do you graph an inequality that includes the number in the solution?

• Arrow to the left

• Closed circle

• Arrow to the right

• Open circle

If a long jumper needs to jump at least 18 feet to qualify, which of the following jumps would qualify?

• 17 feet

• 18 feet

• 17.5 feet

• 16 feet

Which athletes qualify for the finals if the required jump is at least 20.5 feet?

• Jake and Tyrell

• Tyrell and Ryan

• Amir and Ryan

• Amir and Jake

What symbol is used to represent 'less than or equal to'?

• <=

• >

• >=

• <

When graphing inequalities, what does a closed circle represent?

• The number is zero

• The number is negative

• The number is included

• The number is not included