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Re: Suppose that |b a| = 2. Which of the following statements must be tr
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14 Jan 2023, 22:12
1
Given that |b − a| = 2 and we need to find which of the following statements must be true?
|b - a| = 2 means that the distance between b and a is 2 units on the number line.
A. a must be positive if b is positive Let's take example to prove this one right/wrong If b = 1 then a can be 3 or can be -1 As distance between both (1 and 3) and (1 and -1) on the number line is 2 => a can be either positive or negative => FALSE
B. a must be negative if b is negative Let's take example to prove this one right/wrong If b = -1 then a can be 1 or can be -3 As distance between both (-1 and 1) and (-1 and -3) on the number line is 2 => a can be either positive or negative => FALSE
C. b > 0 if a > 2 Let's take example to prove this one right/wrong If a=2.1 then b can be 0.1 or 4.1 As distance between both (2.1 and 0.1) and (2.1 and 4.1) on the number line is 2 => In all the cases b will be greater than 0 => TRUE
So, Answer will be C Hope it helps!
Watch the following video to learn the Basics of Absolute Values