Exploring Inequality Graphs

The video tutorial covers solving and graphing inequalities, starting with basic operations like addition and subtraction, and moving to multiplication and division. It includes examples of graphing inequalities on a number line and choosing the correct inequality from multiple options. The tutorial also addresses word problems, translating verbal statements into inequalities, and graphing them. The video concludes with practice problems for students to try on their own.

What is the solution to the inequality x - 2 > 4?

• x > 2

• x > 6

• x < 2

• x < 6

How would you graph the inequality x > 6 on a number line?

• Open circle at 6, arrow to the right

• Closed circle at 6, arrow to the right

• Closed circle at 6, arrow to the left

• Open circle at 6, arrow to the left

What is the solution to the inequality x/3 ≤ 7?

• x ≤ 7

• x ≤ 21

• x ≥ 21

• x ≥ 7

How would you graph the inequality x ≤ 21 on a number line?

• Open circle at 21, arrow to the left

• Open circle at 21, arrow to the right

• Closed circle at 21, arrow to the left

• Closed circle at 21, arrow to the right

What is the solution to the inequality 6x < 30?

• x < 5

• x > 5

• x < 30

• x > 30

How would you graph the inequality x < 5 on a number line?

• Closed circle at 5, arrow to the right

• Open circle at 5, arrow to the right

• Open circle at 5, arrow to the left

• Closed circle at 5, arrow to the left

If a number line shows an open circle at 18 and an arrow pointing left, which inequality does it represent?

• x > 18

• x < 18

• x ≤ 18

• x ≥ 18

What does 'at least 75 degrees' translate to in an inequality?

• t ≤ 75

• t ≥ 75

• t < 75

• t > 75

How would you graph the inequality t ≥ 75 on a number line?

• Closed circle at 75, arrow to the right

• Open circle at 75, arrow to the right

• Closed circle at 75, arrow to the left

• Open circle at 75, arrow to the left

What does 'no more than 82 degrees' translate to in an inequality?

• t ≥ 82

• t > 82

• t ≤ 82

• t < 82