Does 8x = 16 + 2x?
(1) -3x is greater than or equal to -9.
(2) 2x is greater than or equal to 6.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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2 comments:
Normally you wouldn't need to know the solution of the quesion to answer a DS question. However, in this case that will be required since the two statement are inequations and it must be clear, which one (if any) is always or sometimes compatible with the equation.
The equation solution is very simple, yielding 2.666(6)
The first statement points to the region x less than or equal to 3. The solution of the equation fells within this range, so the most common answer (NO) would have an exception for the case of x=2.66(6) , where the correct answer is YES.
Thus the first statement is ambiguous and not decisive.
The second statement yiled the range x greater than or equal to 3. Now, the equation solution is not included and an universal answer can be given. By the way, that answer would be NO.
The conclusion is that statement (2) is decisive, and statement (1) isn't. The correct option is (B).
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