Please help me!..............
2 answers:
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Answer:
Step-by-step explanation:
The inequality will be split into two
It is know that, if a<b<c
Then a<b and b<c
-8<2x-4<4
Apply that to this
Then,
-8<2x-4. Equation 1
Also,
2x-4<4 equation 2
Solving equation 1
-8<2x-4
Add 4 to both side of the equation
-8+4<2x-4+4
-4<2x
Divide both sides by 2
-4/2<2x/2
-2<x
Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4
Therefore,
-2<x
Then, x greater than -2
Equation 2
2x-4<4
Add 4 to both side of the inequalities
2x-4+4<4+4
2x<8
Divide both side by 2
Then,
2x/2<8/2
x<4
Therefore x is between -2 and +4.
Check attachment for graphical solution
The slope of CD is
The slope of the perpendicular bisector is the negative reciprocal,
The perpendicular bisector passes through M, the midpoint of CD
M =( (0+2)/2, (-4 + 6)/2) = (1, -1)
So point slope form for the perpendicular bisector is
Solving for y gives slope intercept form.
Not sure how to type that without spaces; we didn't have online homework back then.
Answer: y=(-1/5)x-4/5