Don’t lose your progress!

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Up to 90+ points GMAT score improvement guarantee

The best guarantee you’ll find

Our Premium and Ultimate plans guarantee up to 90+ points score increase or your money back.

Master each section of the test

Comprehensive GMAT prep

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Schedule-free studying

Learn on the go

Study whenever and wherever you want with our iOS and Android mobile apps.

The most effective way to study

Personalized GMAT prep, just for you!

Adaptive learning technology focuses on your academic weaknesses.

Data Sufficiency: Yes/No Basic Technique

Is $$x \gt 0$$? >(1) $$|x - 2| \lt 7$$ >(2) $$x \lt 11$$
For Stat. (2), $$x$$ can have _any_ value less than $$11$$, that is, it could be positive, zero, or negative. Again, you could use $$x=8$$ or $$x=-3$$, so there is no definite answer. **Stat.(2) → IS → CE**. For Stat. (1+2), you know that >$$-5 \lt x \lt 9$$ and $$x < 11$$. These inequalities do not conclusively establish whether $$x$$ is greater than zero or not. Thus, you could still use $$x=8$$ or $$x=-3$$, so there is no definite answer. There is no definite answer, so **Stat.(1+2) → IS → E**.
Incorrect. [[snippet]] For Stat. (1), you should solve absolute values of the number case by considering two possible scenarios: 1. Copy the inequality without the absolute value signs and solve: >$$x - 2 \lt 7$$ >$$x \lt 9$$ 2. Remove the absolute value signs, put a negative sign around the other side of the inequality, and flip the sign: >$$x - 2\gt -7$$ >$$x\gt -5$$ Based on the above, $$x$$ must be more than -5 and less than 9 (i.e., $$x$$ can be greater or less than 0). Therefore, $$x$$ could be 8, in which case $$x \gt 0$$, or -3, in which case $$x < 0$$. There is no definite answer, so **Stat.(1) → IS → BCE**. For Stat. (2), $$x$$ can have _any_ value less than 11, that is, it could be positive, zero, or negative. Again, you could use $$x=8$$ or $$x=-3$$, so there is no definite answer. **Stat.(2) → IS → CE**.
Incorrect. [[snippet]] For Stat. (1+2), you know that >$$-5 \lt x \lt 9$$ and $$x < 11$$. These inequalities do not conclusively establish whether $$x$$ is greater than zero or not. Thus, you could use $$x=8$$ or $$x=-3$$, so there is no definite answer. There is no definite answer, so **Stat.(1+2) → IS → E**.
Incorrect. [[snippet]] For Stat. (1), you should solve absolute values of the number case by considering two possible scenarios: 1. Copy the inequality without the absolute value signs and solve: >$$x - 2 \lt 7$$ >$$x \lt 9$$ 2. Remove the absolute value signs, put a negative sign around the other side of the inequality, and flip the sign: >$$x - 2\gt -7$$ >$$x\gt -5$$ Based on the above, $$x$$ must be more than -5 and less than 9 (i.e., $$x$$ can be greater or less than 0). Therefore, $$x$$ could be 8, in which case $$x \gt 0$$, or -3, in which case $$x < 0$$. There is no definite answer, so **Stat.(1) → IS → BCE**.
Incorrect. [[snippet]] For Stat. (2), $$x$$ can have _any_ value less than $$11$$, that is, it could be positive, zero, or negative. Thus, you could use $$x=8$$ or $$x=-3$$, so there is no definite answer. **Stat.(2) → IS → CE**.
Correct. [[snippet]] For Stat. (1), you should solve absolute values of the number case by considering two possible scenarios: 1. Copy the inequality without the absolute value signs and solve: >>$$x - 2 \lt 7$$ >>$$x \lt 9$$ 2. Remove the absolute value signs, put a negative sign around the other side of the inequality, and flip the sign: >>$$x - 2\gt -7$$ >>$$x\gt -5$$ Based on the above, $$x$$ must be more than $$-5$$ and less than $$9$$ (i.e., $$x$$ can be greater or less than $$0$$). Therefore, you could use $$x = 8$$, in which case $$x \gt 0$$, or it could be $$x = -3$$, in which case $$x < 0$$. There is no definite answer, so **Stat.(1) → IS → BCE**.
Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
BOTH Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Continue