Is x > 5 ?

(1) x^2 > 25
(2) 2x + 7 > 0
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

St.1: x > 5 or x < -5 ; ins
St.2: 2x + 7 > 0 , x > -3.5 ; ins

St.1&2: If x > -5 = -6 and we plug it into St.2: "2(-6) + 7 < 0" the condition becomes false. So, x > 5 answers is (C).

Hi ak,
Could you be more specific? Sorry.

Statement 1 : x^2 > 25
Means, either x>5 or x<-5

So, we cannot be 100% sure of whether x>5.
Hence, this statement is insufficient.

Statement 2 : 2x+7>0
which is equivalent to 2x > 7
or further, x > 3.5
So, this can give us any value between 3.6 to infinity.
Hence, we cannot be 100% sure of whether x>5.
Again, INSUFFICIENT

So, combining, we know from st-1 that x>5 or x<-5
But st-2 says, x>3.5

So, the possibility that x<-5 is NOT valid.

Hence, we are left with, x>3.5 and x>5, so obviously, x>5
and we answer the question with a definite YES.

So, option C
_________________

Compilation of Blogs by Mike Mcgarry - Magoosh

IMO C

1> 5>X and X <-5 not sufficient

2> 2X > 7 --> x > -3.5 not sufficient

combining both X>5
_________________

Hit kudos if you like my post

Today's preparation determines tomorrow's achievement.