I need help on my geometry homework please!?

Question

okay so today was the first day of school & my geometry teacher gave me homework, but he didn't teach us anything!!! I'm just stuck on these 2 problems..

If-then statements; Converses

6). x>7 implies x>2

8). An animal is a penguin only if it is a bird

We're supposed to tell whether each statment is true or false. Then write the converse and tell whether it is true or false & If the statement or converse is false, give a counterexample..

I would really appreciate it, if you would help me & not just give the answer.

Thanks if advance! God bless <3

Answer 1

x is greater than 7 so it has to be greater than 2

it is true

not alll birds are penguins

false

x&gt;2 implies x&gt;7            counterexample is false

a penguin is a bird only if it is an animal                 counterexample true

Answer 2

1st in if-then form:

6) If x&gt;7, then x&gt;2; true

converse, if x&gt;2, then x&gt;7; false; counterexample x = 4

8) only if means then

If an animal is a penguin, then it is a bird; true

Converse: if an animal isa bird, then it isa penguin; false; crow.

Answer 3

i think both are true

Answer 4

I know how to do 6. Since x is greater than 7 (say just for this purpose, that x=10), then x (10) will also be greater than 2. So this statement is true.

Answer 5

I think true 4 both.

Answer 6

If you read it aloud you should see it immediately: x&gt;7 implies x&gt;2

&quot;X greater than 7 implies x is greater than 2&quot;. All I can say is that is true. If

X is greater than 7 it is also greater than 2 because 7 is greater than 2.

An animal is a penguin only if it is a bird because penguins are birds.

They&#039;re both true.

Make them false by contradicting something:

x&lt;7 implies x&gt;2

An animal is a bird only if it is a penguin.