Consider u = {x|x is a real number}. a = {x|x ∈ u and x + 2 > 10} b = {x|x ∈ u and 2x > 10} which statements are true? 5 ∉ a; 5 ∈ b 6 ∈ a; 6 ∉ b 8 ∉ a; 8 ∈ b 9 ∈ a; 9 ∉ b

x+2 > 10 solves to x > 8 after we subtract 2 from both sides

So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.

Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.

Summarizing everything, we can say...

5 is not in set A. True

5 is in set B. False

6 is in set A. False

6 is not in set B. False

8 is not in set A. True

8 is in set B. True

9 is in set A. True

9 is not in set B. False

yes

step-by-step explanation:

step-by-step explanation: