Algebra
posted by Ellen .
Solve using set builder notation, show all work. 12x25 is greater than or = to 3x5(x+6)

5 ( x + 6 ) = 5 x + 30
12 x  25 ¡Ý 3 x  5 ( x + 6 )
12 x  25 ¡Ý 3 x  ( 5 / x  6 ) )
12 x  25 3 x  ( 5 x + 30 )
12 x  25 ¡Ý 3 x  5 x  30
12 x  25 ¡Ý  2 x  30
Add 2 x to both dides
12 x  25 + 2 x ¡Ý  2 x + 2 x  30
14 x  25 ¡Ý  30 Add 25 to both sides
14 x  25 + 25 ¡Ý  30 + 25
14 x ¡Ý  5 Divide both sides by 14
x ¡Ý  5 / 4 
Remark:
¡Ý
mean greater or equal
Respond to this Question
Similar Questions

math
Solve 12x25¡Ý3x5(x+6) using set builder notation 
Mathgeometry
I do not understand setbuilder notation..... Using correct mathematical notation and symbols, express the following in setbuilder notation: Z = {16, 17, 18, 19, 20} 
math
2. Simplify. Please be sure to show all of your work. 3(9) – 5 – 3 3. Simplify. Please show all of your work 9c^3+7c(3c^312+c) 4. Solve 4x 3(5x8) =239(x+2) . Please show all of your work 5. Solve the following equation … 
algebra
is this right solve the following inequality and write solutin as a set builder notation 6/25x>=5/3 25/6*6/25*x=>5/3*25/6 x=<125/18 x=<125/18 set builder notation[x/x,125/18] 
algebra
solve x4<1/8 write solution using set builder notation 
Pre Algebra
Solve x  5/9 <_  2. Write your solution using set builder notation. 
College PreAlgebra
Solve 14x7(4x)< 3(2x15). Write your solution using set builder notation. Please show all of your work. 
Algebra
Write using set builder notation.Show work....Solve..2(10x9)17x<(6x) 
math
Solve 3(x10)>x+5. Write your solution using set builder notation. please show work 
Algebra
Write the set using setbuilder notation: {natural numbers greater than 11