What is special about the density of water when it goes from a liquid to a solid?
1 answer:
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Answer:
Part 1) The solution set is (-15,∞) ∩ (-∞,9)=(-15,9)
Part 2) The ordered pair (1,3) is a solution of the system
Step-by-step explanation:
Part 1) we have
<u>First solution case Positive</u>
The solution first case is the interval -------> (-∞,9)
<u>Second solution case Negative</u>
------> Multiply by -1 both sides
The solution second case is the interval -------> (-15,∞)
The solution set is equal to
(-15,∞) ∩ (-∞,9)=(-15,9)
Part 2) we have
-------> inequality A
-----> inequality B
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities
Verify each case
case a) (1,5)
Substitute the value of x and the value of y in the inequality and then compare
<u>Inequality A</u>
------> is true
<u>Inequality B</u>
-----> is not true
therefore
the ordered pair is not a solution
case b) (0,5)
Substitute the value of x and the value of y in the inequality and then compare
<u>Inequality A</u>
------> is true
<u>Inequality B</u>
-----> is not true
therefore
the ordered pair is not a solution
case c) (-2,-3)
Substitute the value of x and the value of y in the inequality and then compare
<u>Inequality A</u>
------> is not true
therefore
the ordered pair is not a solution
case d) (1,3)
Substitute the value of x and the value of y in the inequality and then compare
<u>Inequality A</u>
------> is true
<u>Inequality B</u>
-----> is true
therefore
the ordered pair is a solution