Integer

Find the integer whose distance on the numerical axis from number 1 is two times smaller as 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  x……(1,6)  (b−1)=−(b−6)/2  3b=8  b=83≐2.666667  x……(6,+inf)  (c−1)=(c−6)/2  c=−4  x=a=(−4)=−4

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