Question

I don't understand this geometry help. Write the converse of the following true conditional statement. If the converse is false, write a counterexample. If a<10, then a<15
Choices A.If a>10, then a>15;false. counter example: a=12 and a <15

B if a<15, then a<10 false; counterexample:a=12 and a >10
C. If a <15, then a <10;true

Answer 1

Choice D I'll draw.

Answer 2

\[If a \ge 15, then a \ge 10;true \]

Answer 3

@peachpi

Answer 4

Use the attached chart to help.
I'll do the converse to help you get started.

Answer 5

If a<10, then a<15. --> Original Statement

p: If a < 10
q: Then a < 15

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Think of the original statement as p --> q which is read as p implies q.

Answer 6

Converse of p --> q is this:

q --> p

Coding back in what q and p represent, the converse would read as:

IF a < 15, then a < 10. CONVERSE

Is the converse true?

@wiztostudy23

Do you think it is true that every number less than 15 MUST be less than 10.

Look at you options to figure out which one supports your answer.