Inequalities and Absolute Value Problems

This video tutorial covers solutions of inequalities, including selecting solutions, drawing number lines, and understanding speed limits and temperature ranges through inequalities. It also explores absolute value comparisons, solving power equations, and calculating percentages of prices. The tutorial provides practical examples and visual aids to enhance understanding.

Which of the following numbers is a solution to the inequality k > 5?

• 4.9

• 5.2

• 5.1

• 5.0

How is the inequality s < 60 represented on a number line?

• Open circle at 60 with arrow pointing right

• Closed circle at 60 with arrow pointing left

• Closed circle at 60 with arrow pointing right

• Open circle at 60 with arrow pointing left

Can a car traveling at 60 mph be within the speed limit of s < 60?

• Yes, because the limit is exactly 60

• No, because the limit is above 60

• No, because 60 is not included

• Yes, because 60 is included

What inequality represents temperatures between 52°F and 60°F?

• t < 52 and t > 60

• t ≤ 52 and t ≥ 60

• t ≥ 52 and t ≤ 60

• t > 52 and t < 60

How are temperatures between 52°F and 60°F shown on a number line?

• Closed circles at 52 and 60 with a line between

• Open circle at 52 and closed circle at 60

• Open circles at 52 and 60 with a line between

• Closed circle at 52 and open circle at 60

Which statement is true about the absolute value of -5?

• -5 is less than its absolute value

• -5 is equal to its absolute value

• -5 is greater than its absolute value

• -5 is not related to its absolute value

What is the solution to x^4 = 81?

• x = 5

• x = 2

• x = 4

• x = 3

If x^2 = 100, what is the value of x?

• x = 8

• x = 9

• x = 10

• x = 11

What percentage of the usual price is $150 if the usual price is $250?

• 80%

• 50%

• 60%

• 70%

If a phone is sold at 75% of its usual price of $250, how much is it sold for?

• $187.50

• $200

• $175

• $150