all you need is to solve the problem 4-2|n+6|>=2 subtracting 4 from both sides -2|n+6|>=-2 dividing by -2 and flipping sign of inequality |n+6|<=1 -1<=n+6<=1 subtracting 6 from both sides -7<=n<=-5 the conjunction will be -7<=n and -5>= n which is choice a