If X= -2, -1, 0, 1,2,3, 4, 5, 6, 7, 8 and A= x: |x-2| le3, x is an integer then X-A=

Question

If X= -2, -1, 0, 1,2,3, 4, 5, 6, 7, 8 and A= x: |x-2| le3, x is an integer then X-A=  (A)  -2, 6, 7, 8  (B)  -2, -1, 1, 2, 3, 4, 5, 6  (C)  -1, 0,1,2,3, 4, 5, 7, 8  (D)  -2, -1, 2, 3, 6, 7, 8

Tardigrade Admin · Accepted Answer

We have, X = -2, - 1 , 0 , 1 , 8 and A = x: | x - 2| le 3, x text is an integer ∴ A = -1, 0, 1, 2, 3, 4, 5 Now, X - A = -2, 6, 7, 8

Q. If $X = {- 2, - 1, 0, 1, 2, 3, 4, 5, 6, 7, 8}$ and $A = {x : ∣ x - 2 ∣ \leq 3, x i s an in t e g er},$ then $X - A =$

${- 2, 6, 7, 8}$

${- 2, - 1, 1, 2, 3, 4, 5, 6}$

${- 1, 0, 1, 2, 3, 4, 5, 7, 8}$

${- 2, - 1, 2, 3, 6, 7, 8}$

We have, $X = - 2, - 1, 0, 1, 8$ and
$A = x : ∣ x - 2∣ \leq 3, x is an integer$
$∴ A = - 1, 0, 1, 2, 3, 4, 5$
Now, $X - A = - 2, 6, 7, 8$

Q. If X={−2,−1,0,1,2,3,4,5,6,7,8} and A={x:∣x−2∣≤3,xisaninteger}, then X−A=

{−2,6,7,8}

{−2,−1,1,2,3,4,5,6}

{−1,0,1,2,3,4,5,7,8}

{−2,−1,2,3,6,7,8}