Given a conditional statement p → q, which statement is logically equivalent? ~p → ~q
~q → ~p
q → p
p → ~q

Answers

Answer 1
Answer: Hello,
p=>q  is equivalent to ~q → ~p


p-------q-------p=>q--~q ----- ~p----~q → ~p
0-------0-------1-------1 ------- 1------- 1
0-------1-------1-------0-------  1------- 1
1-------0-------0-------1-------  0-------0
1-------1-------1-------0-------  0-------1

Column 3= column 6 ==>equivalent


Answer B


























Answer 2
Answer:

The logically equivalent statement to p → q is:

~q → ~p

How to find the logically equivalent statement?

The conditional statement:

p → q

p and q are propositions, then the conditional statement is can be written as:

  • if p is true, then q is also true.

So, always that p is true, q is also true, this means that if q is not true, then p must also not be true.

Then we can rewrite this using the negation propositions, which are:

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

If you want to learn more about statements, you can read:

brainly.com/question/1601404


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In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth<br /><br />A) 42.0 ft<br />
B) 85.7 ft<br />
C) 18.0 ft<br />
D) 52.5 ft<br /

Answers

The nearby tree's height is 42.0 ft, which is A
Alrighty friend, let me explain you a math.
We're gonna want to start by setting up a fraction. We'll set up the fraction as height/shadow. The stick's height is 6 feet and the shadow is 2 feet, making the fraction 6/2. The second fraction only gives us the shadow, so the fraction is x/14. 
Now, we're gonna do some cross multiplication m8. 6/2 x x/14. Multiply 6x14= 84 and 2x(x)= 2x ---> 2x = 84
Do you some basic algebra here, and divide both sides by 2. 
Your final answer is 42, so the tree is 42 feet tall.

If m< 1 =115 , find m<3

Answers