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Mathematics 25 Online
OpenStudy (anonymous):

Form the inverse: If I do not mow the lawn, then the grass grows too tall. If the grass grows too tall, then I did not mow the lawn. If I mow the lawn, then the grass does not grow too tall. If the grass does not grow too tall, then I mowed the lawn. If the grass does not grow too tall, then I did not mow the lawn. If the grass grows too tall, then I mowed the lawn

OpenStudy (anonymous):

Let p = "I move the lawn" and q = "Grass grows too tall" Your statement is therefore ~p => q. Now, do you know what is an inverse?

OpenStudy (anonymous):

no what is that

OpenStudy (anonymous):

When you have an implication, for example a=>b, then an inverse of it is ~a=>~b. Now apply this definition to the sentence I gave you.

OpenStudy (anonymous):

would it b the second statement p=>q

OpenStudy (anonymous):

No. Look, in our example, a is ~p and b is q. So ~a is ~~p = p and ~b is ~q, so you have p => ~q. Now just translate it into English.

OpenStudy (anonymous):

Or to make it simpler: to form the inverse, you just negate both sentences and keep them in the same order.

OpenStudy (anonymous):

ok so it would b the first statement once u flip it around

OpenStudy (anonymous):

But you don't flip around. You just add "no" to both sentences. And double negative makes a positive.

OpenStudy (anonymous):

this stuff is a little csig to figure out

OpenStudy (anonymous):

confusing

OpenStudy (anonymous):

Okay, so let's negate both sentences. "I don't mow the lawn" turns into "I mow the lawn" and "The grass grows too tall" turns into "The grass doesn't grow too tall". Your final answer would be then: "If I mow the lawn, the grass doesn't grow too tall".

OpenStudy (anonymous):

okay

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