For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.

If x = 9, then x2 = 81.

a) If x2 = 81, then x = 9.

b) If x2 = 81, then x = 9.

x2 = 81 if and only if x = 9.

c) If x2 = 9, then x = 81.

d) If x2 = 81, then x = 9.

x = 9 if and only if x2 = 81

Question

Mathematics

Shamar

28 November, 17:02

For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.

If x = 9, then x2 = 81.

a) If x2 = 81, then x = 9.

b) If x2 = 81, then x = 9.

x2 = 81 if and only if x = 9.

c) If x2 = 9, then x = 81.

d) If x2 = 81, then x = 9.

x = 9 if and only if x2 = 81

+3

Answers (1)

Know the Answer?

Marilyn Beck · Answer 1

x2 = 81 if and only if x = 9.

this statement means

x2 = 81 implies x = 9, and x = 9 implies x²=81

so the converse of If x = 9, then x2 = 81 is If x2 = 81, then x = 9