Cantor's cuts. Start with the unit interval [0, 1]. Remove the middle third of that interval and you will have [0, 1/3] and [2/3, 1]. Next, remove the middle third of each of those intervals. You will have [0, 1/9], [2/9, 1/3], [2/3, 7/9], and [8/9, 1] remaining. If you repeat the pro- cess of removing the middle third forever, the points that remain con- stitute the Cantor Set. Describe infinitely many points that remain in the Cantor Set. 38.

R) The following proot seems to show that 2-1. Place a check mark In the step In which the error occurs. Step 1: Let a =b Step 2: a - ab Multiply by Step 1 Step 2 a- - ab -h stract Step 4: (a-5)(a+h) - ba-h) Factor Step 3 Step 3 Step 4 (e-ka Ma- - Step 5: Divide by la-) Step 6: a+b=b Simplify Step 5 Step 6 Step 7: b+b=b Step 8: 2h = b Since a=b %3D Simplify Step 7 Step 8 Step 9: 2 =1 Divide by b Step 9

In which pair do both decimals represent rational numbers?     O A. 2.71828182845904523536... and 0.1222 O B. 3.141592653589793238... and 0.684 O C. 3.141592653589793238... and 0.1222.. .O D. 0.684 and 0.1222...