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timofeeve [1]
3 years ago
5

Solve the compound inequality 6b < 42 or 4b + 12 > 8.

Mathematics
1 answer:
MakcuM [25]3 years ago
5 0
B < 7 . . . (1)
4b > 8 - 12
b > -1
solution: -1 < b < 7
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Answer:

A conditional statement is something like:

If P, then Q.

P = hypothesis.

Q = conclusion.

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"If a polygon is a quadrilateral, then it is a square".

1) The hypothesis is: a polygon is a quadrilateral

2) The conclusion is:  it is a square

3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.

4) The inverse of a conditional statement is (using the same notation than above)

If not P, then not Q.

In this case is:

"If a polygon is not a quadrilateral, then it is not a square"

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5) A converse statement is:

If Q, then P

In this case is:

"if it is a square, then the polygon is a quadrilateral"

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6) A biconditional statement is written as:

P if and only if Q.

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