Given: p is true prove: p → q is true assume ~q is true. then ~q → r, and r → s. since s → ~p, ~q → ~p by the law of syllogism. therefore, p → q is true. what type of proof is illustrated above? a. proof by contradiction b. proof by contraposition c. proof by law of detachment d. proof by law of syllogism

Given the following proof:
p → q is true Assume ~q is true. Then ~q → r, and r → s. Since s → ~p, ~q → ~p by the law of syllogism. Therefore, p → q is true.

We can see that the conclusion was drawn from the fact that since ~q → ~p, then p → q.

This is known as contraposition.

Contraposition in logic is the conversion of a proposition from, for example: all A is B to all not-B is not-A.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote