SOLUTION: Anybody please help... Solve. 2(2x-3) < 6 - the solution set is {x | x < ? } 3(3+4x) -8 > 109 (the arrow is underlined) the solution set is {x | x > ?} 3(2y - 7) > 4(3y +4)

Algebra ->  Graphs -> SOLUTION: Anybody please help... Solve. 2(2x-3) < 6 - the solution set is {x | x < ? } 3(3+4x) -8 > 109 (the arrow is underlined) the solution set is {x | x > ?} 3(2y - 7) > 4(3y +4)      Log On


   

Question 133579: Anybody please help...
Solve.
2(2x-3) < 6 - the solution set is {x | x < ? }
3(3+4x) -8 > 109 (the arrow is underlined) the solution set is {x | x > ?}
3(2y - 7) > 4(3y +4) Use set builder to describe the solution
{y | y ?? }
Please i have no clue...help
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

# 1


2%282x-3%29%3C6 Start with the given inequality



4x-6%3C6 Distribute


4x%3C6%2B6Add 6 to both sides


4x%3C12 Combine like terms on the right side


x%3C%2812%29%2F%284%29 Divide both sides by 4 to isolate x



x%3C3 Divide

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Answer:
So our answer is x%3C3


So the solution set in set-builder notation is







# 2




3%283%2B4x%29-8%3E=109 Start with the given inequality



9%2B12x-8%3E=109 Distribute


12x%2B1%3E=109 Combine like terms on the left side


12x%3E=109-1Subtract 1 from both sides


12x%3E=108 Combine like terms on the right side


x%3E=%28108%29%2F%2812%29 Divide both sides by 12 to isolate x



x%3E=9 Divide

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Answer:
So our answer is x%3E=9




So the solution set in set-builder notation is

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
1) You solve an inequality just as you would solve an equation, with one exception. When you multiply or divide by a negative quantity in the process of solving, you must reverse the inequalitity sign. You don't have any that require this here.
2%282x-3%29+%3C+6 Divide both sides by 2.
2x-3+%3C+3 Add 3 to both sides.
2x+%3C+6 Finally, divide both sides by 2.
x+%3C+3 Solution: {x|x<3}
2)
3%283%2B4x%29-8+%3E=+109 Add 8 to both sides.
3%283%2B4x%29+%3E=+117 Divide both sides by 3.
3%2B4x+%3E=+39 Subtract 3 from both sides.
4x+%3E=+36 Finally, divide both sides by 4.
x+%3E=+9 Solution: {x|x>/=9}
3)
3%282y-7%29+%3E+4%283y%2B4%29 Apply the distributive property to both sides.
6y-21+%3E+12y%2B16 Subtract 6y from both sides.
-21+%3E+6y%2B16 Now subtract 16 from both sides.
-37+%3E+6y Finally, divide both sides by 6.
-6.167+%3E+y Solution: {y|y<-6.167}