Chapter 7: Inequalities

Question 0

Subtraction Property of Inequality: If a > b, then

Answer 0

a - c > b - c

Question 1

Addition Property of Inequality: If a > b, then

Answer 1

a + c > b + c; Also if a > b and c > d, then a + c > b + d

Question 2

Multiplication Property of Inequality: If a > b and c > 0, then

Answer 2

ac > bc

Question 3

Division Property of Inequality: If a > b and c > 0, then

Answer 3

a/c > b/c

Question 4

Substitution Property of Inequality: If a = b, then

Answer 4

a can be substituted for b in any inequality

Question 5

Transitive Property of Inequality: If a > b and b > c, then

Answer 5

a > c

Question 6

Whole Greater Than Its Part Property: If c = a + b and b > 0, then

Answer 6

c > a

Question 7

Postulate 13: Triangle Inequality Postulate: The sum of the lengths of any two sides of a triangle must be

Answer 7

greater than the length of the remaining side

Question 8

Theorem 27: Exterior Angle Inequality Theorem: The measure of an exterior angle of a triangle is

Answer 8

greater then the measure of either of the remote interior angles

Question 9

Theorem 28: If Unequal Sides, Then Unequal Angles: If two sides of a triangle are not congruent, then

Answer 9

the angles opposite those sides are not congruent, and the greater angle is opposite the longer side

Question 10

Theorem 29: If Unequal Angles, Then Unequal Sides: If two angles of a triangle are not congruent, then

Answer 10

the sides opposite those angles are not congruent, and the longer side is opposite the greater angle