Which of the two values 10^(-2) and 10^(-3), is x more close to?
Is x closer to 10^-3 than 10-2?
Is x < (1/2)(1/100+1/1000)?
Is x < 11/2000?
1. x is more close to 10^(-4) than to 10^(-1).
x<(1/2)(1/10+1/10000)
x< (1001/20000)
This doesn't tell us if x <11/2000 since 1001/20000 > 11/2000. Not sufficient.
2. x is more close to 10^(-3) than to 10^(-1).
x<(1/2)(1/10+1/1000)
x<101/2000
Still doesn't tell us if x< 11/2000. Not sufficient.
1 and 2. 2 follows from 1 so no new information is introduced by combining them. Not sufficient. Answer is E.
My method is probably not the best way to do it because there's room for error doing the arithmetic and it may take too long on the actual test. But I don't like drawing number lines.
Is x closer to 10^-3 than 10-2?
Is x < (1/2)(1/100+1/1000)?
Is x < 11/2000?
1. x is more close to 10^(-4) than to 10^(-1).
x<(1/2)(1/10+1/10000)
x< (1001/20000)
This doesn't tell us if x <11/2000 since 1001/20000 > 11/2000. Not sufficient.
2. x is more close to 10^(-3) than to 10^(-1).
x<(1/2)(1/10+1/1000)
x<101/2000
Still doesn't tell us if x< 11/2000. Not sufficient.
1 and 2. 2 follows from 1 so no new information is introduced by combining them. Not sufficient. Answer is E.
My method is probably not the best way to do it because there's room for error doing the arithmetic and it may take too long on the actual test. But I don't like drawing number lines.