If it is true that x > -2 and x < 7, which of the following must be true? GMAT Problem Solving

Question: If it is true that x > -2 and x < 7, which of the following must be true?

1. x > 2
2. x > -7
3. x< 2
4. -7 < x < 2
5. none of the above.

“If it is true that x > -2 and x < 7, which of the following must be true?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “The Official Guide for GMAT Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation

Approach Solution 1:

This question can be solved by only one approach.

Given in the question that x > -2 and x < 7. We are asked to find out which of the given options is true.
We have to check each of the options and see whether the given range matches the range provided in the question.
In option A,
Given x > 2
In the question
x> -2 and x < 7
-2 < x < 7
X lies in the region (-2,7)
X > 2 contains the values of x > 7 also, So this is not the correct option.
In option B,
X > -7
This is correct as we know that x > -2
If x > -2 then x must be greater than -7.
This is the correct option
In option C,
X < 2
X < 2 also contains the region to the left of -2
But x is greater than -2. So this is not the correct option.
In option D,
-7 < x < 2
But x cannot be between (-7,-2). This is not the correct option

Correct Answer: B

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