The number of integral values of x if the following statement is valid? 0≤x2≤100. a)19 b)20 c)22 d)21 Please help t

Question

The number of integral values of x if the following statement is valid? 0≤x2≤100.
a)19
b)20
c)22
d)21
Please help today is my exam it is really urgent please explain the answer properly.​

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Raelynn 1 week 2021-09-14T05:47:49+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-14T05:49:18+00:00

    The number of integral values of x satisfying 0≤x²≤100 is 21

    Therefore, option (d) is correct.

    Step-by-step explanation:

    Given

    0\le x^2\le 100

    The value of x should be such that its square is less than 100

    Square of any number is always greater than or equal to zero

    Thus,

    x^2\le 100

    \implies x^2-100\le 0

    \implies x^2-10^2\le 0

    \implies (x-10)(x+10)\le 0

    \implies x\in[-10, 10]

    Thus, the integral values of x are

    -10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10

    Total number of values = 21

    Hope this answer is helpful.

    Know More:

    Q: Find the number of integral value of x so that 2 power 2 x square – 7 x + 5 is equal to 1.

    Click Here: https://brainly.in/question/12864142

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