Exploring Writing and Graphing Inequalities

This video tutorial by Jeff Jacobson introduces inequalities, explaining their differences from equations and the symbols used. It covers how to write inequalities from sentences, determine solutions, and graph them on a number line. The tutorial emphasizes understanding solution sets and provides examples for practice.

What does the prefix 'in' in 'inequality' imply about its relationship to equality?

• It signifies 'inside', meaning inequality is within equality.

• It represents 'increase', suggesting inequality is more than equality.

• It means 'not', indicating inequality is not equal.

• It denotes 'infinite', implying inequality has infinite values.

How is 'C is less than negative four' represented as an inequality?

• C = -4

• C < -4

• C <= -4

• C > -4

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

• >=

• <=

• <

• >

What does 'at most 16' imply when writing an inequality for '4Q is at most 16'?

• 4Q <= 16

• 4Q = 16

• 4Q < 16

• 4Q > 16

What is a solution set in the context of inequalities?

• A graphical representation of the inequality.

• A mathematical formula that defines the inequality.

• A set of all possible solutions that satisfy the inequality.

• A single solution that makes the inequality true.

If 'X is less than 6', which of the following is NOT a solution?

• 5

• 6

• 4

• 0

How do you verify if a value is a solution to an inequality?

• By multiplying the inequality by the value.

• By dividing the inequality by the value.

• By adding the value to the inequality.

• By substituting the value into the inequality.

Is 'X = 8' a solution to 'X + 1 > 7'?

• Insufficient information

• Only if X is less than 8

• No

• Yes

On a number line, how is 'X is greater than 2' graphically represented?

• With an open dot at 2 and an arrow pointing right.

• With a closed dot at 2 and an arrow pointing left.

• With an open dot at 2 and an arrow pointing left.

• With a closed dot at 2 and an arrow pointing right.

What does a closed dot on a number line signify in the context of graphing inequalities?

• The number is not included in the solution set.

• The solution set includes all numbers except the one marked.

• The solution set is empty.

• The number is included in the solution set.