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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
