Q. 1 A5.0( 3 Votes )

Check whether the equations are identities. Write the patterns got form each,on taking x = 1, 2, 3, 4, 5 and x = –1, –2, –3, –4, –5.

–x + (x + 1) = 1

Answer :

Let’s take as x = 1,2,3,4,5 (positive numbers)

And as x = -1,-2,-3,-4,-5 (negative numbers)


(i) –x + (x + 1) = 1


We will calculate LHS in every case and compare it with RHS taking x = 1, = -1 + (1 + 1) = -1 + 2


= 1


Taking x = 2, = -2 + (2 + 1) = -2 + 3


= 1


taking x = 3,


= -3 + (3 + 1)


= -3 + 4 = 1


taking x = 4,


= -4 + (4 + 1)


= -4 + 5 = 1


taking x = 5,


= -5 + (5 + 1)


= -5 + 6 = 1


now taking x as negative numbers Taking x = -1, = -(-1) + (-1 + 1)


= 1 – 1 + 1 = 1


Taking x = -2, = -(-2) + (-2 + 1)


= 2 + 1 -2 = 1


Taking x = -3, = -(-3) + (-3 + 1)


= 3 -3 + 1 = 1


Taking x = -4, = -(-4) + (-4 + 1)


= 4 -4 + 1 = 1


Taking x = -5, = -(-5) + (-5 + 1)


= 5 – 5 + 1 = 1


As in each case LHS = 1 so, LHS = RHS


Hence, above equation is an identity.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
On the Number lineOn the Number lineOn the Number line44 mins
Essentials of Rational NumbersEssentials of Rational NumbersEssentials of Rational Numbers45 mins
Missing NumbersMissing NumbersMissing Numbers55 mins
Properties of Rational NumbersProperties of Rational NumbersProperties of Rational Numbers29 mins
Quiz | Properties of Rational NumbersQuiz | Properties of Rational NumbersQuiz | Properties of Rational Numbers41 mins
Quiz | Imp Qs. on Properties of Rational NumbersQuiz | Imp Qs. on Properties of Rational NumbersQuiz | Imp Qs. on Properties of Rational Numbers45 mins
Extra Questions on Laws of Rational NumbersExtra Questions on Laws of Rational NumbersExtra Questions on Laws of Rational Numbers40 mins
Squares of NumbersSquares of NumbersSquares of Numbers35 mins
Quiz | Who will Win the Game?Quiz | Who will Win the Game?Quiz | Who will Win the Game?41 mins
Quiz on Divisibility TestQuiz on Divisibility TestQuiz on Divisibility Test32 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses