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May 0510:00 AM PDT
-11:00 AM PDT
GMAT Inequalities is a high-frequency topic in GMAT Quant, but many students struggle because the concepts behave differently from standard algebra. Understanding the right rules, patterns, and edge cases can significantly improve both speed and accuracy.- May 06
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-09:30 AM PDT
In Episode 3 of our GMAT Ninja Critical Reasoning series, we tackle Discrepancy, Paradox, and Explain an Oddity questions. You know the feeling: the passage gives you two facts that seem completely contradictory.... - May 08
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Join the special YouTube live-stream for selecting the winners of GMAT Club MBA Scholarships sponsored by Juno live. Watch who gets these coveted MBA scholarships offered by GMAT Club and Juno.
28 Dec 2023, 12:58
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There is one more simple method to solve inequalities:
x2−4x+3>0
Sol:
Step 1: Equate the quadratic equation to 0 : x2−4x+3 = 0 which gives us two values for x , x= 3 , x=1
Step 2 : Now draw number line with the roots there and mark + ,- alternately like below:
_______+_______ 1 ________-_________3 __________+_________
Step 3: If the inequality is > then we will select + range . If the inequality is < then we will select - range above.
Step 4: Here as the inequality is > we will chose + ranges from the number line.
x<1 and x>3
Step 5: If the inequality above was < we will simply choose the range where - is present:
1<x<3
Note: Always start marking + ,- with + only from the left of the 1st root you have found.
If inequality is > choose + range
If inequality is < choose -ve range
x2−4x+3>0
Sol:
Step 1: Equate the quadratic equation to 0 : x2−4x+3 = 0 which gives us two values for x , x= 3 , x=1
Step 2 : Now draw number line with the roots there and mark + ,- alternately like below:
_______+_______ 1 ________-_________3 __________+_________
Step 3: If the inequality is > then we will select + range . If the inequality is < then we will select - range above.
Step 4: Here as the inequality is > we will chose + ranges from the number line.
x<1 and x>3
Step 5: If the inequality above was < we will simply choose the range where - is present:
1<x<3
Note: Always start marking + ,- with + only from the left of the 1st root you have found.
If inequality is > choose + range
If inequality is < choose -ve range
TargetMBA007
Joined: 22 Nov 2019
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28 Dec 2023, 19:29
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I was able to solve this using the wavy line method, and it was easy, as one of the statements was sufficient.
But I wonder, if we had to solve both statements together, how would the wavy line work in a case like that, for a question like this (Assuming none of the statements was sufficient on its own).
KarishmaB
But I wonder, if we had to solve both statements together, how would the wavy line work in a case like that, for a question like this (Assuming none of the statements was sufficient on its own).
KarishmaB
28 Dec 2023, 21:19
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Hi TargetMBA007, if both statements alone are not sufficient then you have list of values (multiple) stafisfying x from statement 1 and 2. If the common value is unique then you choose option C else E.
Hope this helps!
Posted from my mobile device
Hope this helps!
Posted from my mobile device
