math

अब Quizwiz के साथ अपने होमवर्क और परीक्षाओं को एस करें!

Example: -6 < 7

-6 - 5 < 7 - 5 -11 < 2

Example: 10 > 4

10 + 20 > 4 + 20 30 > 24

2+2+2+2

2 to the 4

Example: 6 < 10

6 + 7 < 10 + 7 13 < 17

numerical sentences

Expressions such as 2 • 6 = 12 and 6 > 4 6 > 10 is a numerical sentence; however, it is a false statement. Another example of a false statement is 8 = 5.

Solve -5 + n = 9 for n.

Solution: Since adding a number and its opposite results in zero, add 5 to both sides of the equation. -5 + n = 9 -5 + 5 + n = 9 + 5 0 + n = 14 n = 14 Check: -5 + 14 9 9 = 9 (True) The solution set is {14}.

Solve p + (-7) = -12 for p.

Solution: p + (-7) = -12 is the same as p - 7 = -12 p - 7 + 7 = -12 + 7 p = -5 Check: -5 + (-7) -12 -12 = -12 (True) The solution set is {-5}.

set

a collection or group of objects indicated by braces, { }

equation

a mathematical sentence whose verb is 'equal' (=)

element

a member of a set

null set

a set containing no elements; also called the empty set

solution

a value or values of the variable that make an algebraic sentence true

open sentence

an equation that contains a variable or variables

Solving an inequality

means finding the values of the variable that make the inequality true. We solve inequalities in much the same way as we solved equations. Generally, an equation has one element in the solution set, whereas solution sets of inequalities are infinite.

subset

set A is a subset of set B if all of the elements of set A are contained in set B or it is the empty set

additive identity

the number 0 (for the real numbers)

multiplicative identity

the number 1 (for the real numbers)

multiplicative inverse

the reciprocal of a number; if x is a number other than zero, then 1/x is the multiplicative inverse; the product of a number and its multiplicative inverse is 1

symmetric property

when the sides of an equation are interchanged, an equivalent equation is formed; if a = b, then b = a

The addition property of inequality

you may add (or subtract) any number you choose to both sides of an inequality without changing the order of the inequality.


संबंधित स्टडी सेट्स

CCENT Chapter 8: Configuring Basic Switch Management

View Set

Chapter 37: Drugs Therapy for Peptic Ulcer Disease and Hyperacidity

View Set

chapter 34 male reproductive disorders prepu

View Set

Interpersonal communication Midterm

View Set

CE150 Chapter 4: The Network Layer

View Set

CEHv9 MOD12 Hacking Web Applications

View Set

Unit 3 U.S. History Test: World War I

View Set