True or True #4

Algebra Level 3

True or False:

If ( x − 1 ) ( x − 2 ) = 0 ( x - 1 )( x - 2 ) = 0 then, x = 1 x = 1 and x = 2 x = 2 .

True or True

True Not True and Not False False not true and not false

Paul Ryan Longhas by Paul Ryan Longhas , 24, Philippines

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5 solutions

Parv Maurya
Nov 29, 2014

logical question , you only have to notice the "AND" differentiate it from "OR" The Correct Statement Should Be x=1, OR x=2

9 Helpful 0 Interesting 0 Brilliant 0 Confused

hy its Abhiijeet , why cant it be a "and" maybe both 1 and 2 lie in the domain of x

Abhijeet Srivastava - 6 years, 5 months ago
Paul Ryan Longhas
Nov 27, 2014

If ( x - 1 )( x - 2 ) = 0 then, x = 1 AND x = 2 ---> 1 = 2 which is wrong. Because the true statement is "If ( x - 1 )( x - 2 ) = 0 then, x = 1 OR x = 2.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

is this a 4th level question

Dinesh Grover - 6 years, 6 months ago

my god "AND"

Gautam Sharma - 6 years, 6 months ago

If (x-1)(x-2)=0 then x=1 OR x=2. It may be either 1 or 2 or both but not only both

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Syed Hamza Khalid
May 17, 2017

If

( x − 1 ) ( x − 2 ) = 0 (x-1)(x-2)=0

Then

x = − 1 , − 2 x=-1,-2 not 1 and 2

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Sakshi Taparia
Dec 26, 2014

this one was really tricky. All you had to do was to notice the "and".

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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