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.

x – (x – 1) = 1

x – (x – 1) = 1

Let’s check for x = -1


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


= -1-(-2)


= 1


= R.H.S


Hence, it works for x = -1


Let’s check for x = -2


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


= -2 – (-3)


= 1


= R.H.S


Hence, it works for x = -2


Let’s check for x = -3


L.H.S = -3 – (-3 - 1)


= -3 – (-4)


= 1


= R.H.S


Hence, it works for x = -3


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


More from this chapter

All 34 →
1

Use the principles above, compute the following:

5 – 10

 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.

1 – x = – (x – 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