1.2.1 Concepts of Inequality

Answer 1

the symbol meaning that the number on the left is less than the number on the right

Answer 2

the symbol meaning that the number on the left is less than the number on the right

Question 3

>

Answer 3

the symbol meaning that the number on the left is greater than the number on the right

Question 4

≤

Answer 4

means that the number on the left is either less than or equal to the number on the right

Question 5

≥

Answer 5

means that the number on the left is either equal to or greater than the number on the right

Question 6

The transitive property

Answer 6

means that if A is larger than B and B is larger than C, then A is larger than C. The property also means if A is smaller than B and B is smaller than C, then A is smaller than C

Question 7

Adding and Subtracting Inequalities

Answer 7

Adding the same number to both sides of an inequality maintains the inequality. Subtracting the same number from both sides also maintains the inequality.

Question 8

Multiplying and Dividing Inequalities

Answer 8

Multiplying or dividing both sides of an inequality by a positive number maintains the inequality. Multiplying or dividing both sides by a negative number reverses the inequality.

Question 9

>

Answer 9

the symbol meaning that the number on the left is greater than the number on the right

Question 10

≤

Answer 10

means that the number on the left is either less than or equal to the number on the right

Question 11

≥

Answer 11

means that the number on the left is either equal to or greater than the number on the right

Question 12

The transitive property

Answer 12

means that if A is larger than B and B is larger than C, then A is larger than C. The property also means if A is smaller than B and B is smaller than C, then A is smaller than C

Question 13

Adding and Subtracting Inequalities

Answer 13

Adding the same number to both sides of an inequality maintains the inequality. Subtracting the same number from both sides also maintains the inequality.

Question 14

Multiplying and Dividing Inequalities

Answer 14

Multiplying or dividing both sides of an inequality by a positive number maintains the inequality. Multiplying or dividing both sides by a negative number reverses the inequality.