navigator123 wrote:

Zarrolou wrote:

guerrero25 wrote:

(A)|x − 1.5| ≤ 5.5

(B)|x + 5.5| ≥ 1.5

(C)|x + 1.5| ≤ 5.5

(D)|x − 5.5| ≤ 1.5

(E)|x − 1.5| ≥ 5.5

\(-4\leq{x}\leq{7}\) from the image.

From A we know that the distance between x and 1,5 is 5,5( in both ways) so x ranges from 7 and -4.

Correct A

i could not be able to understand. Can you/someone explain more.

Try solving the mod equation if you are confused.

As per the image we can see that −4≤x≤7

(A) |x − 1.5| ≤ 5.5

===> -5.5 ≤ x - 15 ≤ 5.5 ==> -4 ≤ x ≤ 7 - This is exactly matching to the above equation.(B) |x + 5.5| ≥ 1.5

(C) |x + 1.5| ≤ 5.5

(D) |x − 5.5| ≤ 1.5

(E) |x − 1.5| ≥ 5.5

Though you can still do a quick check on rest of the answer choices. Hope this helps.

Hence, Answer is A
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