exam Maths Puzzle Numerical Ability

Solving combined inequalities
2 is less than y plus 6/2 is less than 5
AND
(4-y is less than 5 OR 4+y is less than 7)

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exam Other Question

Please help me solve this problem:
2^n / 1000 < 1000n^2

I am trying to use the log base 2 to solve but keep on getting stuck.
Please help find the inverse function g of the given function and state the domain and range of g

y=f(x)=(x+2)^3