## knowel 2 years ago Which conditional and its converse are both true? If x = 3, then x2 = 6. If x = 2, then x2 = 4. If x2 = 4, then x = 2. If x = 1, then 2x = 2. - i think its C but i dont know

1. stgreen

B and D are both correct... in case of C If x2 = 4, then x = +2,-2 which is not an option

2. knowel

im confused

3. mathstudent55

Let's look at each one. A. If x = 3, then x2 = 6. Is this true?

4. stgreen

you;re confused about C or B and D?

5. mathstudent55

What is $$3^2 =$$

6. knowel

c

7. knowel

im confuced a bout c

8. mathstudent55

C. If $$x^2 = 4$$, what can x =? What numbers squared = 4?

9. stgreen

C says If x2 = 4, then x = 2. which is incorrect $x=\sqrt{4}=+2 , -2$

10. stgreen

$(-2)^{2}=2^{2}=4$ remember?

11. knowel

ok well idk if my are just tried but it look to me that a is correct

12. stgreen

A can't be right... see If x = 3, then x^2=3^2=9 while A says If x = 3, then x^2 = 6.

13. knowel

then which one is correct

14. knowel

nm b is correct

15. knowel

thank you guys

16. mathstudent55

You're not done.

17. mathstudent55

For each conditional, you need to see if both the conditional and its converse are true. Let's start with A.: If x = 3, x^2 = 6. This is false since 3^2 = 9, so if x = 3, x^2 = 9 not 6. Here the conditinal is false, so there is no need to check the converse.

18. mathstudent55

B. If x = 2, then x2 = 4. This conditional is true. If x = 2, 2^2 = 4. Now we need to check the converse. If x^2 = 4, then x = 2. This converse is false. If x^2 = 4, then x = -2 or +2. For B. the conditional was true but the converse was false. So B. is not the answer.

19. mathstudent55

C. If x2 = 4, then x = 2. If x^2 = 4, then x = -2 or +2. This conditional is false, so there is no need to check its converse.

20. mathstudent55

D. If x = 1, then 2x = 2. This conditional is true. If x = 1, then 2x = 2(1) = 2, or you can multiply both sides by2 to get 2x = 2. Now let's check the converse: If 2x = 2, then x = 1. We divide both sides by 2, to get: x = 1. The converse is also true. The answer is D. because that is the only conditional that is true , and its converse is also true.

21. knowel

ok i get it thank you for explaining

22. mathstudent55

wlcm