The quotient of a number and two is greater than or equal to the number minus six. find the solution set.

The quotient of a number and two is greater than or equal to the number minus
/ x 2 ≥ x -

six. find the solution set.
6

x/2≥x-6
2 (x/2≥x-6) factored in 2 to remove fractions
x≥2x-12
-x+x≥2x-x-12 subtraction property
0≥x-12 simplified
0+12≥x-12+12 addition property
12≥x

Solution set: {x║x≤12}

No solution : there is no number of boxes that she bought