Linear Inequations
Linear Inequations - An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expr..
Linear Inequations - An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expr..(iii) Set-builder notation
f : {(x, y) : y = 4x + 5} where x belongs to real numbers. (iv) A table. The following table represents first to fifth rank holders of a class. (vi) An algebraic formula. We can use an algebraic formula to represent a function {(x, y) : f(x) = x 2 + 3, x I} Domain is th..
f : {(x, y) : y = 4x + 5} where x belongs to real numbers. (iv) A table. The following table represents first to fifth rank holders of a class. (vi) An algebraic formula. We can use an algebraic formula to represent a function {(x, y) : f(x) = x 2 + 3, x I} Domain is th..Ordered Pairs and Cartesian Product
). Its usefulness is seen through emphasis on mathematising practical situations.Solving of problems depends on the ability to understand and apply mathematical analysis to different situations. In this chapter, we will study some fundamental definitions and application..
Second Method:
x 2 - 2x - 48 = x 2 - 8x + 6x - 48 = x(x - 8) + 6(x - 8) = (x - 8) (x + 6) When the coefficient of the highest power is not unity. i.e., type ax 2 bx c, when and b and c are integers. Multiply (3x + 2) (x + 4) and consider the result so obtained. = 3x (x + 4) +2 (x + 4) = 3x 2 + 12x..
x 2 - 2x - 48 = x 2 - 8x + 6x - 48 = x(x - 8) + 6(x - 8) = (x - 8) (x + 6) When the coefficient of the highest power is not unity. i.e., type ax 2 bx c, when and b and c are integers. Multiply (3x + 2) (x + 4) and consider the result so obtained. = 3x (x + 4) +2 (x + 4) = 3x 2 + 12x..Linear Equations in One Variable
will be = (x + 10) years After 10 years, Mr.R's age will be = (7x + 10) years By the given condition of the problem (7x + 10) = 3(x + 10) 7x + 10 = 3x + 30 7x - 3x = 30 - 10 4x = 20 or x = 5 Son's age is 5 years. Mr.R's age is 7 5 = 35 years Mr.R's age is 35 years and his son's age is 5 y..
will be = (x + 10) years After 10 years, Mr.R's age will be = (7x + 10) years By the given condition of the problem (7x + 10) = 3(x + 10) 7x + 10 = 3x + 30 7x - 3x = 30 - 10 4x = 20 or x = 5 Son's age is 5 years. Mr.R's age is 7 5 = 35 years Mr.R's age is 35 years and his son's age is 5 y..Question 1
Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=11 ..
Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=11 ..Question 3
Question: Solve the following equation: Answer: 2(3x-19)=10 3x-19 = 5 3x=5+19 3x=24 x=..
Question: Solve the following equation: Answer: 2(3x-19)=10 3x-19 = 5 3x=5+19 3x=24 x=..Question 5
Question: Solve the following equation: Answer: -58y-232 = -108y+18 -58y+108y = 18+232 50y=250 y=..
Question: Solve the following equation: Answer: -58y-232 = -108y+18 -58y+108y = 18+232 50y=250 y=..Question 1
Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Substitute x=2, y=3 in 2x+3y=10 2(2)+3(3)=10 4+9=10 x=2, y=3 is not a solution o..
Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Substitute x=2, y=3 in 2x+3y=10 2(2)+3(3)=10 4+9=10 x=2, y=3 is not a solution o..Question 3
Question: Solve the following equation: 7x+5=3x-25 Answer: ..
Question: Solve the following equation: 7x+5=3x-25 Answer: .. Result
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