how do i solve this linear inequality equation

Question

x+2 divided by 2 greater than/equal to x-2 divided by 4

answer is [-10, infinity)

Answer 1

so we have
(x+2)/2 ≥ (x-2)/4
multiply each side by 4
2(x+2) ≥ x-2
2x + 4 ≥ x-2
x ≥ -6

check your equation.