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It’s A. Have a good day. HALVES:/
Step-by-step explanation:
let Sean be 4 years old and Rachel be 2 years old on April 17
part (A)
R=S-2 --(A)
is an equation that can be used to determine Rachel's age
likewise,
S=R+2--(B)
can be used to determine Sean's age
part (B)
use equation(A) for table (1) and equation(B) for table 2
Table (1) : R=S-2=11-2= R=9
12-2=10=»R=10
13-2=11=»R=11
14-2=12=»R=12
15-2=13=»R=13
16-2=15=»R=14
likewise use equation B for the table (2)
the outputs must be 3,4,5,6,7,8
and 9
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.
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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
