Hi All,

We're told that Q is the set of POSITIVE values for P and |3P - 4| ≤ 1. We're asked which of the following is the RANGE of Q. This question can be solved in a couple of different ways, including Algebraically:

To find the maximum and minimum positive values for P, we need to solve the following equations:

3P - 4 = 1 and 3P - 4 = -1
3P = 5 and 3P = 3
P = 5/3 and P = 1

That range is 5/3 - 1 = 2/3

Final Answer: B

GMAT assassins aren't born, they're made,
Rich

BTGmoderatorLU wrote:If q is the set of positive values for p and |3p - 4| ≤ 1, which of the following gives the range of q?

A. 0
B. 2/3
C. 1
D. 5/3
E. 2

Case 1. Solving for p when (3p - 4) is positive, we have:

3p - 4 ≤ 1

3p ≤ 5

p ≤ 5/3

Case 2. Solving for p when (3p - 4) is negative, we have:

-(3p - 4) ≤ 1

3p - 4 ≥ -1

3p ≥ 3

p ≥ 1

Thus, 1 ≤ p ≤ 5/3 and hence the range is 5/3 - 1 = 2/3.

Answer: B