On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the sol
ution set.
y
=
−
x
2
+
4
x
+
2
y=−x
2
+4x+2
4
x
−
2
y
=
−
4
4x−2y=−4
y
=
−
x
2
+
4
x
+
2
y=−x
2
+4x+2
4
x
−
2
y
=
−
4
4x−2y=−4
1 answer:
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Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given
Firstly, we will find critical values
so, let's assume it is equal
now, we can break absolute sign
For :
we can solve for x
Add both sides by 20
Divide both sides by -10
and we get
For :
we can solve for x
Subtract both sides by 20
Divide both sides by 10
and we get
so, critical values are
now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5
so, this is FALSE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2
so, this is TRUE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0
so, this is FALSE
so, solution is
[-3,-1]
