Exploring Basic Inequalities in Mathematics

The video introduces inequalities, comparing them to equations, and explains how to use inequality symbols. It covers graphing inequalities on a number line and introduces compound inequalities. Practical applications of inequalities in real life are also discussed, emphasizing their usefulness in specifying ranges and conditions.

What does the number line represent in terms of numbers?

• The alphabetical order of numbers

• The color coding of numbers

• The sound frequency of numbers

• The increasing and decreasing value of numbers as you move left or right

What symbol is used in equations to show equality?

• The multiplication sign (×)

• The plus sign (+)

• The equal sign (=)

• The minus sign (-)

Which symbols are used to represent inequalities?

• Greater than (>) and less than (<)

• Plus (+) and minus (-)

• Multiplication (×) and division (÷)

• Equal (=) and not equal (≠)

What does the 'greater than or equal to' sign look like?

• >=

• <=

• ≠

• =

How do you graph a simple inequality like 'n > 3' on a number line?

• By drawing a circle around 3

• By placing a single dot at 3

• By drawing a solid line to the right of 3

• By drawing a solid line to the left of 3

What does a hollow dot on a graph represent?

• The value is the only answer

• The value is exactly equal to the boundary

• The value is included in the set of answers

• The value is not included in the set of answers

If the inequality is 'n < 7', which number is a valid answer?

• 10

• 8

• 7

• 6

What is a compound inequality?

• An inequality that defines a relationship between a number and two different numbers

• An inequality that can only have one solution

• An inequality that involves addition

• An inequality that involves subtraction

How can inequalities be used in real life?

• To calculate the exact speed of light

• To specify a range of acceptable values

• To determine the color of an object

• To understand the plot of a novel

What does the inequality 'P > 50 AND P < 200' specify?

• P is less than 50

• P is more than 200

• P is exactly 50 or 200

• P is greater than 50 but less than 200