Conditional statement is a statement with a hypotesis and a conclusion:
If
, then
or mathematically
.
Converse statement of
is statement
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Then,
Answer: the correct choice is D (the inverse of the original conditional statement).
Answer:
p = 3
q = -6
Step-by-step explanation:
Work backwards from the roots:
x = 
3x = 2
3x - 2 = 0
Other root:
x = -3
x + 3 = 0
Multiply them together:
(3x - 2)(x + 3) = 0
3x² - 9x + 2x - 6 = 0
3x² - 7x - 6 = 0
p = 3
q = -6
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