Thursday, September 6, 2012

Introduction to my math answers sheet



Math is a family where we can declare any kind of the numbers like symbols, letters and the different numbers, complex numbers, real numbers, rational numbers etc...Math is a group of sciences (arithmetic, geometry, algebra, trigonometry, calculus etc..) that explains measures,magnitudes,area of the region, statistics. we are going to learn how to solve some of the math problems. In addition, math helps a lot in our daily life. Here we include some of the math problems to help you better.The answer sheet to the problems follows.

Math Answer Sheet to Given Problems

Ex 1: Let A = {1, 2}, B = {a, b}. Find some relations from A → B and B → A.

Sol:
Since relation from A to B is a subset of the Cartesian product A × B = {(1 , a) , (1, b) , (2 , a) , (2 , b)} any subset of A × B is a relation from A → B. Therefore{(1 , a), (1 , b), (2 , a), (2 , b)}, {(1, a), (1, b)}, {(1, b, (2, b)}, {(1 , a)} are some relations from A to B. Similarly any subset of B × A = {(a , 1), (a , 2), (b , 1), (b , 2)} is a relation from B to A. {(a , 1), (a , 2), (b , 1), (b , 2)}, {(a, 1), (b, 1)}, {(a, 2), (b, 1)} are some relations from B to A.

Ex 2: Evaluate the equation     2(-3x - 4) - (-x - 4) = -2(x + 1) + 2

Sol:
Given the equation  2(-3x - 4) - (-x - 4) = -2(x + 1) + 2
Multiply factors.
-6x - 8 + x + 4 = -2x - 2 +2
Grouping the terms.
-5x - 4 = -2x
-3x = 4
X = `(-4)/(3)`  is the answer to the math problem

Answer Sheet to Probelms on Math :

Ex 3: If x <4 -="-" 4="4" 5="5" nbsp="nbsp" p="p" simplify="simplify" x="x">
Sol:
Given the expression  |x - 4| - 5|-4|
If x <; 4 then x - 4 < 4 and if
x - 4 < 4 the |x - 4| = -(x - 4).
Substitute |x - 4| by -(x - 4) and |-4| by 4 .
lx - 4| - 5|-4|
= -(x - 4) -5(4)
= -x -16 is the answer to the math problem

Ex:4 Find the next two numbers in the number pattern.
 2, 6,18 , ___, ___,.
Sol:
Step 1: The given pattern is obtained by multiplying 3 to each number to get the next number in the pattern.
Step 2: The next two numbers in the pattern are 54,162.

Ans: 54,162 is the answer to the math problem

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