Use Indirect proof for the following problem.

1. P v (Q . P)
2. P > R / R

Liz had 140 pens and inna had 100 pens. after inna gave liz some pens, liz had 3 times as many pens as inna. how many pens did inna give liz?

Hilary decided to purchase 3 points in order to lower her interest rate on her $140,000 mortgage. how much additional money does she need to bring to closing? a. $4200 b. $4000 c. $6 d. $400

These dots plots show the height (in feet) from a sample of the different types of elephants