Narenn wrote:

What values of X will be closer to the point A = -5 than the point B = 7 on the number line?

I) 0 < x < 2

II) 1 < x < 1.5

III) x < -10

A) Only I

B) Only II

C) Only III

D) Both I and III

E) Both II and III

Sol: Consider Range in option I

If x =0.9 then x is close to pt A but if x= 1.9 then pt x is close to pt B so option A and D can be ruled out

Consider range in option II. All the points in this range is close to Pt B. So option B and E is ruled out

Ans is III only or Option C only

Alternatively the question can be done by drawing a no. line. We can clearly see that that values to the left of Pt A will be closer to it than Pt B. Points to the right may or may not be close to Pt A in the given ranges in option I and II. Ans is C

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