SOLUTION: Solve the following
a) | 2x - 9 | < 3
b) | 3x - 4 | < -13
c) | 2x - 2 | = | x + 1 |
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Question 59636: Solve the following
a) | 2x - 9 | < 3
b) | 3x - 4 | < -13
c) | 2x - 2 | = | x + 1 |
d) Determine which of the following points are solutions to the system
y > -2x + 1
y < 3x + 5 (-3, 2), (-1, 5), (3, 6)
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Solve the following
:
a) |2x-9|<3
b) |3x-4|<-13
No solution |x| cannot be less than 0.
c) |2x-2|=|x+1|
Square both sides
Set = to 0
Factor
3x-1=0 and x-3=0
3x-1+1=0+1 and x-3+3=0+3
3x=1 and x=3
3x/3=1/3 and x=3
x=1/3 and x=3
:
d) Determine which of the following points are solutions to the system
(-3, 2), (-1, 5), (3, 6)
For (-3,2)
2 is not greater than 7 (-3,2) is not a solution.
:
For (-1,5)
It's true for the first equation, check the second.
5 is not less than 2 (-1,5) is not a solution of the system.
:
For (3,6)
It's true for the first equation, check the second.
It's true for the second also, therefore (3,6) is a solution to the system.
Happy Calculating!!!
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