What is one half a number increased by three is greater than zero or less than or equal to negative three?

Answer 1

(1/2) x +3 > 0 or (1/2) x + 3<= -3

(1/2) x > -3 or (1/2) x <= -6

x > -6 or x <= -12

open circle at -6 shaded to the right

closed circle at -12 shaded to the left

That is [-12,-6] is not part of the solution