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

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)

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) (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

Start with the given inequality

Distribute

Add 6 to both sides

Combine like terms on the right side

Divide both sides by 4 to isolate x

Divide

--------------------------------------------------------------
Answer:
So our answer is

So the solution set in set-builder notation is

# 2

Start with the given inequality

Distribute

Combine like terms on the left side

Subtract 1 from both sides

Combine like terms on the right side

Divide both sides by 12 to isolate x

Divide

--------------------------------------------------------------
Answer:
So our answer is

So the solution set in set-builder notation is

Answer by Earlsdon(6294) (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.
Divide both sides by 2.
Add 3 to both sides.
Finally, divide both sides by 2.
Solution: {x|x<3}
2)
Add 8 to both sides.
Divide both sides by 3.
Subtract 3 from both sides.
Finally, divide both sides by 4.
Solution: {x|x>/=9}
3)
Apply the distributive property to both sides.
Subtract 6y from both sides.
Now subtract 16 from both sides.
Finally, divide both sides by 6.
Solution: {y|y<-6.167}
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