SOLUTION: 47 - (2x + 5) less than or equal too 3(x+2)+ x use set-builder notation to describe the complete solution

Algebra.Com
Question 327939: 47 - (2x + 5) less than or equal too 3(x+2)+ x
use set-builder notation to describe the complete solution

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
47 - (2x + 5) <= 3(x+2)+ x
47-2x-5<= 3x+6+x
42-2x<=4x+6
Add 2x to both side
42-2x+2x<=4x+6+2x
42<=6x+6
add -6 to both sides
42-6<=6x+6-6
36<=6x
divide by6 both sides
36/6 <=x
6<=x
{x|x>=6}

RELATED QUESTIONS

1. 3/2x is greater than or equal to -7/4 {x|x ??} 2. 6x+7<31 {x|x??} 3. 0.4x + 6 is (answered by stanbon)
use set builder notation to describe the complete solution set. 25-(3x+7)<(line under... (answered by jim_thompson5910)
5[3m-(m+4)]>-2(m-4) use set builder notation to describe the complete... (answered by jim_thompson5910)
solve 5y-2<7y-3 Use set builder notation to describe the complete solution {y/y_ _... (answered by jim_thompson5910)
Use the set builder notation to describe the complete solution. 7/4(3x-1/2)-4/3<5/3 (answered by stanbon,oscargut)
Please solve the inequality and write the solution using set builder notation: 5/9 x... (answered by lwsshak3)
Solve 3/5 (3x-1) > 12 Use the set-builder notation to describe the complete solution. (answered by stanbon)
Use set builder notation to describe the complete solution 5[3m-(m+6)] >... (answered by jim_thompson5910)
3y-1 < 8y-3 use set builder notation to describe the complete solution?? please... (answered by rapaljer)