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What is the sum of integer values of x such that |2x-3| < 3
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16 Apr 2020, 09:05
16 Apr 2020, 09:05
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What is the sum of integer values of x such that \(|2x-3| < 3\) ?
a. One
b. Two
c. Three
d. Four
e. Five
a. One
b. Two
c. Three
d. Four
e. Five
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: What is the sum of integer values of x such that |2x-3| < 3
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16 Apr 2020, 09:49
16 Apr 2020, 09:49
Carcass wrote:
What is the sum of integer values of x such that \(|2x-3| < 3\) ?
a. One
b. Two
c. Three
d. Four
e. Five
a. One
b. Two
c. Three
d. Four
e. Five
---ASIDE------------------
When solving inequalities involving ABSOLUTE VALUE, there are 2 things you need to know:
Rule #1: If |something| < k, then –k < something < k
Rule #2: If |something| > k, then EITHER something > k OR something < -k
Note: these rules assume that k is positive
----------------------------
Given: |2x - 3| < 3
From Rule #1, we can conclude that: -3 < 2x - 3 < 3
Add 3 to all sides of the inequality to get: 0 < 2x < 6
Divide all sides by 2 to get: 0 < x < 3
Since we're looking for INTEGER values of x, we see that x can equal 1 or 2
So the SUM = 1 + 2 = 3
Answer: C
Cheers,
Brent
Re: What is the sum of integer values of x such that |2x-3| < 3
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19 Jun 2021, 12:14
19 Jun 2021, 12:14
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
