I. Determine the property illustrated in each of the following step of proof Show that 0. 316 is a rational number Let x = 0.316 1. x = 0.316 - 1000x = 316.316 2. 1000x = 316.316 - 1000x - x = 316.316 - 0.316 3. 1000x - x = 316.316 - 0.316 + 999x = 316 4. 999x = 316 - 999x 316 999 999 999x 316 316 5. OX= 999 999 999 6. Since x = 0.316 and x = 316 316 therefore 0. 316 = 999 999VI. Determine the Root set of the following 1) 8x3 + x -3 =5x2 -3x + 1 2) x+1 = \\3x3 + 3x - 20 2x + 3y = 11 3) 3x - 2y = -16 xty+z =-2 4) 2x - y + 2y = -10 x - 2y + 2z = -11 6 4 5) x+2 x-3