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bluevibe
12.11.2019 •
Mathematics
Which is the solution set to the given inequality |x+3|< 12? x infinity(-15,9), x infinity {-15,9], x infinity (00,-15)u(9,00), x infinity (-00,-15)n(9,00)
which ordered pair is a solution to the system?
{y> -2
{x + y less than or equal to 4
(1,5)
(0,5)
(-2,-3)
(1,3)
i really need i am failing algebra ii and just can't seem to understand it or graphing
Solved
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Ответ:
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
First solution case Positive
The solution first case is the interval -------> (-∞,9)
Second solution case Negative
The solution second case is the interval -------> (-15,∞)
The solution set is equal to
(-15,∞) ∩ (-∞,9)=(-15,9)
Part 2) we have
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
Inequality A
Inequality B
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
Inequality A
Inequality B
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
Inequality A
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
Inequality A
Inequality B
therefore
the ordered pair is a solution
Ответ:
Do u need a example for all of those?