niks18 wrote:

dave13 wrote:

Hi

pushpitkc thanks for your answer :)

One question when do I need to break this \(9 [m]1+9 [m]10 [m]1+m [m]1+m\frac{m+20}{2}\)

To know the range of the average add \(20\) to both sides of the inequality (1)

9+2014.52727\frac{m+20}{2}[/m].

SufficientStatement 2: Given \(n\) is closer to \(20\) than \(m\). we know the average of \(m\) & \(20\) will be mid point i.e equidistant from both \(m\) & \(20\) and as \(n\) is closer to \(20\) so \(n>average\).

SufficientOption

DHello

niks18 Thanks a lot for taking time to explain

i just have one question

Why do you add +20 to both sides ?

Just wanna give you example so as you understand which moment i dont understand

ok i googled and found this. please have a look at the question with explanation below (and see my highlighted comment )

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Technique: Boundary Testing

If 2 < x - 6 < 10 and 25 < y + 10 < 45, what inequality represents the range of values of x + y?

1.) Solve each inequality separately.

2 < x - 6 < 10

2 + 6 < x - 6 + 6 < 10 + 6

(see -6 turns positive when adding 6 to both sides, whereas when you add 20 to both sides +20 is still positive and not negative -20, why Moreover 6 in the middle is canceled out can you explain the difference between your tecinique and this one 8 < x < 16

25 < y + 10 < 45

25 - 10 < y + 10 - 10 < 45 - 10

15 < y < 35

2.) Combine each inequality by using the boundary of each inequality to find the end of the combined (i.e., summed, x + y) inequality.

2a.) Find the smallest possible value of the inequality.

In the first inequality: x is 8.000...0001

In the second inequality: y is 15

23 < x + y

2b.) Find the largest possible value of the inequality.

In the first inequality: x is 16

In the second inequality: y is 34.9999...

x + y < 51

3.) Combine each value from step 2 to find the inequality that encapsulates x + y.

3a.) Find the smallest possible value of the combined inequality.

8.000...0001 + 15 produces x + y > 23

3b.) Find the largest possible value of the combined inequality.

16 + 34.9999 produces y < 51

Putting these together: 23 < x + y < 51