Question

3. Which of the following is true about x=0.17 a. x is irrationalb. x is rationalc. 9(100x-1)-7=0d. Both b and c are truee. Both a and c are true

Answer 1

b, x is rational

Step-by-step explanation

Let's check every option

Step 1

is x irrational or rational?

An Irrational Number is a real number that cannot be written as a simple fraction, in other words any number that can be written as a fraction with integers is called a rational number

we can write 0.17 as

`0.17=(17)/(100)`

it means, 0.17 is a rational number

B

Step 2

Now, let's check the expression at C.

`9(100x-1)-7=0`

let x=0.17

replace.

`\begin{gathered} 9(100x-1)-7=0 \\ 9(100\cdot0.17-1)-7=0 \\ 9(17-1)-7=0 \\ 9(16)-7=0 \\ 144-7=0 \\ 137=0\rightarrow false, \end{gathered}`

it means C is not true, so the Only correct option is

b, x is rational

I hope this helps you