Problema Solution

When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use the interval notation to express the set of all real numbers that satisfy this condition.

Answer provided by our tutors

ι4-3xι≥5

i) 4-3x≥5

x≤-1/3

 

ii)

-4+3x≥5

x≥9/3

x≥3

x≤-1/3,x≥3