Q1 of 34 Page 170

Take as x different positive numbers, negative numbers and zero, and compute x + 1, x – 1, 1 – x. Check whether the equations below hold for all numbers.

1 – x = – (x – 1)

1 – x = – (x – 1)

Let’s check for x = 0


L.H.S = 1 – 0


= 1


R.H.S = -(0 - 1)


= 1


= L.H.S


Hence, it works for x = 0


Let’s check for x = 1


L.H.S = 1 – 1


= 0


R.H.S = - (1 - 1)


= 0


= L.H.S


Hence, it works for x = 1


Let’s check for x = 2


L.H.S = 1 – 2


= -1


R.H.S = - (2 - 1)


= -1


= L.H.S


Hence, it works for x = 2


Similarly we can check for other values too. It will follow.


More from this chapter

All 34 →
1

Take as x different positive numbers, negative numbers and zero, and compute x + 1, x – 1, 1 – x. Check whether the equations below hold for all numbers.

(1 + x) + (1 – x) = 2

 1

Take as x different positive numbers, negative numbers and zero, and compute x + 1, x – 1, 1 – x. Check whether the equations below hold for all numbers.

x – (x – 1) = 1

 2

Taking different numbers as x, y and compute x + y, x – y. Check whether the following hold for all kinds of numbers.

(x + y) – x = y

 2

Taking different numbers as x, y and compute x + y, x – y. Check whether the following hold for all kinds of numbers.

(x + y) – y = x