Question

for the following statements, use the law of detachment to write a valid concluding statement.

if a number is a perfect square, it is not prime. 49 is a perfect square

Answer 1

@bibby

Answer 2

p->q
p
---
q (our concluding statement as far as I can tell)

Answer 3

q is the concluding statement ?

Answer 4

yeah, in this case. p->q is
```
if a number is a perfect square, it is not prime.
```
where p = if a number is a perfect square,
and so q = it is not prime

our additional information:
```
49 is a perfect square
```

given that, we have p, and therefore q is true

Answer 5

where q is 49 is not prime

Answer 6

OH. okay i see what you did there.

Answer 7

basically the truth table for implies is http://www.metafysica.nl/nature/truth_table_impl.gif

so the only time p->q (the whole statement) evaluates to true (given that p is true) is when q is also true

Answer 8

that definitely makes more sense looking at the chart.