Answer:(∞, -5]Step-by-step explanation:-4x + 10 ≥ 5x + 55 solve for x...-45 ≥ 9x (subtract 55 form both sides, and add 4x to both sides to get like terms together)-5 ≥ x (divide both sides by 9 to isolate x)the solution set is all values of x less than or equal to -5, or(∞, -5]