Integer

Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6.

Correct answer:

x =  -4

Step-by-step explanation:

∣x−1∣ = ∣x−6∣/2  x … (−inf, 1)  −(a−1)=−(a−6)/2  a=−4  a=1−4​=−4  a=−4  x …… (1,6)  (b−1)=−(b−6)/2  3b=8  b=38​=2.66666667  b=38​≐2.666667  x …… (6,+inf)  (c−1)=(c−6)/2  c=−4  c=1−4​=−4  c=−4  x=a=(−4)=−4

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