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Write the converse of the following statement and determine its truth value:

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
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MrRoyal

Answer:

The converse is:

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value is:

True

Step-by-step explanation:

The statement can be split into:

p -> If a class has 3 left-handed people and 24 right-handed people,

q -> the ratio of lefties to righties is 1:8

The converse of a conditional statement is:

if q then p

So, we have the converse to be;

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value.

For p, we have.

Ratio = 3 : 24

This can be simplified to.

Ratio = 1 : 8

For q, we have:

Ratio = 1 : 8

Since both are true, then the truth value is true

francocanacari

As it emerges from the cross multiplication performed, the statement is correct.

Since it is stated that "If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1: 8", to determine if this statement is correct the following calculation must be performed:

  • 1 = 3
  • 8 = X
  • 8 x 3 = X
  • 24 = X

Therefore, as it emerges from the cross multiplication performed, the statement is correct.

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