Question

Which of the following is or are greater than x, when x=9/11 A)1/x B)x+1/x C)x+1/x-1

Answer 1

Answer:

A) and B) are greater than x

Step-by-step explanation:

A) 1÷9/11= 11/9. greater than X

B) 9/11+1÷9/11

9+11/11÷9/11

20/11÷9/11

20÷11. greater than X

C) 9/11+1÷9/11-1

9+11/11÷9-11/11

20/11÷(-2)/11

-10. smaller than x

Answer 2

The options which have their value greater than x will be 1/x and (x+1)/x [option A and B].

Given,

The value of x is 9/11.

To find,

The options which have their value greater than x.

Solution,

The options which have their value greater than x will be 1/x and (x+1)/x [option A and B].

According to the question,

We have:

x = 9/11

The value which will be greater than 9/11 will have a denominator less than 11 and a numerator greater than 9.

Now, we will put the value of x in every option.

A) 1/x

1÷9/11

Now, changing the sign of division to the multiplication and reversing the second fraction:

1×11/9

11/9

This value is greater than x.

B) (x+1)/x

(1+9/11)÷9/11

(11+9)/11 ÷9/11

20/11 × 11/9

20/9

This value is greater than x.

C) (x+1)/(x-1)

(9/11+1) ÷ (9/11-1)

20/11 ÷ (9-11/11)

20/11 ÷ (-2/11)

Changing the sign of division to that of multiplication:

20/11 × (-11/2)

-20/2

-10

This value is negative and less than the value of x.

Hence, the options which have their value greater than x are 1/x and (x+1)/x [option A and B].