SOLUTION: Solve:
A. 5x-4(6+2x)<2(1-x)
B. x-9<3x-4<x+8
C. 12-/7-2m/=9 (// are suppose to be absolute value sign)
If all of these are solved the same way could you please just show me ho
Algebra.Com
Question 206537: Solve:
A. 5x-4(6+2x)<2(1-x)
B. x-9<3x-4
C. 12-/7-2m/=9 (// are suppose to be absolute value sign)
If all of these are solved the same way could you please just show me how to do one. Thank you!
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A)
Start with the given inequality.
Distribute.
Combine like terms on the left side.
Add to both sides.
Add to both sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.
Reduce.
----------------------------------------------------------------------
Answer:
So the solution is
B)
Start with the given inequality.
Add to both sides.
Subtract from both sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.
Reduce.
----------------------------------------------------------------------
Answer:
So the solution is
Which in decimal form is
C)
Start with the given equation.
Subtract 12 from both sides.
Combine like terms.
Multiply both sides by -1.
Break up the absolute value (remember, if you have , then or )
or Set the expression equal to the original value 3 and it's opposite -3
Now lets focus on the first equation
Subtract 7 from both sides
Combine like terms on the right side
Divide both sides by -2 to isolate m
Divide
--------------------------------
Now lets focus on the second equation
Subtract 7 from both sides
Combine like terms on the right side
Divide both sides by -2 to isolate m
Divide
So the solutions are: or
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve:
A. 5x-4(6+2x)<2(1-x)
5x-24-8x<2-2x
-3x-24 < 2-2x
Add 3x to both sides: subtract 2 from both sides
5x < -26
x < -26/5
============================
B. x-9<3x-4
Subtract x from both sides: Add 4 to both sides
2x > -5
x > -5/2
============================
C. 12-/7-2m/=9
|7-2m| = 3
7-2m = 3 or 7-2m = -3
2m = 4 or 2m = 10
m = 2 or m = 5
========================
Cheers,
stan H.
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