Match each term with its definition.
1 answer:
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The given conditional statement is : If 7<5, then 5<3.
Inverse: If 7≥5 then 5≥3 (The inverse is true)
Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)
Converse: if 5<3 then 7<5 (The converse is true)
From the properties of conditional statement we know that:
if p→q then
- inverse is :
- contrapositive:
- Converse:
Let us elaborate on the above conditions. Let us take two statement p and q such that If p happens then q also happens.
- The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"
- The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.
To learn more about conditional statements:
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Answer:
Given equations:
- a) -3x + 3y = 9
- b) 2x - 7y = -14
<u>Make x the subject in equation 1</u>:
- -3x + 3y = 9
- -3x = 9 - 3y
- x = y - 3
<u>Substitute this into equation 2</u>:
2(y - 3) - 7y = -14
2y - 7y = -14 + 6
-5y = -8
y = -8/-5
y = 1.6
Then x = y - 3
= 1.6 - 3
= -1.4
Solution: (x, y) ⇒ (-1.4, 1.6)