x−34\;\frac{x-3}{4}4x−3 + x+18\;\frac{x+1}{8}8x+1 ≥\geq≥ 2
multiply through by the LCM of 4, 8, and 1 = 8
8( x−34\;\frac{x-3}{4}4x−3) + 8( x+18\;\frac{x+1}{8}8x+1) ≥\geq≥ 8 x 2
2(x - 3) + (x + 1) ≥\geq≥ 16
2x - 6 + x + 1 ≥\geq≥ 16
3x - 5 ≥\geq≥ 16
3x ≥\geq≥ 16 + 5 = 21
x ≥\geq≥ 213\;\frac{21}{3}321
x ≥\geq≥ 7
