Practice Questions
- Given $x \neq -1$, is $\dfrac{1}{1+x} \gt 1 – x + x^2$ ?
- (1) $x \lt 0$
- (2) $x \gt -1$
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are NOT sufficient.
- Given $x$ and $y$ are positive, is $x^2 – y^2 \gt x+y$ ?
- (1) $x-y \gt 1$
- (2) $x \gt y$
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are NOT sufficient.
Practice Questions
- Is $ab \lt 0$ ?
- (1) $|a+b| \lt |a| +|b|$
- (2) $||a|-|b|| \lt |a-b|$
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are NOT sufficient.