francynetong
contestada

Determine which integers in the set S:{−40, −10, 20, 40} will make the 1/5(m-5) < 1/10 (m-20) false. (btw there is supposed to be a line under < but am on a pc so i can't)


A: S:{−40, −10}
B: S:{−10, 20}
C: S:{20, 40}
D: S:{−40, 40}

Respuesta :

facundo3141592

The integers that make the inequality false are 20 and 40, so the correct option is C.

Which integers will make the inequality false?

The set of integers is {-40, -10, 20, 40} and the inequality is:

(1/5)*(m - 5) ≤ (1/10)*(m - 20)

We can solve this for m:

(1/5)*(m - 5)  ≤  (1/10)*(m - 20)

m/5 - 1  ≤  m/10 - 2

m/5 - m/10  ≤  -2 + 1

m*(1/5 - 1/10)  ≤  -1

m*(1/10)  ≤  -1

m  ≤  10*-1

m  ≤  -10

So any value larger than -10 makes the inequality false, in our set these are 20 and 40.

Then the correct option is C S:{20, 40}

Learn more about inequalities:

https://brainly.com/question/24372553

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