The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.
2(4+2x)≥5x+5 4+2x≥5/2x+5/2 (divide both sides by 2) 3/2+2x≥5/2x (subtract 5/2 from both sides) 3/2≥1/2x (subtract 2x from both sides) 3≥x (multiply both sides by 2) or x≤3
