Question

What is the solution to the inequality x+(7+2x)<-3x

Answer 1

`Solution, x+7+2x<-3x\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-(7)/(6)\:\\ \:\mathrm{Decimal:}&\:x<-1.16667\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-(7)/(6)\right)\end{bmatrix}`

`Steps:`

`x+7+2x<-3x`

`\mathrm{Group\:like\:terms}, x+2x+7<-3x`

`\mathrm{Add\:similar\:elements:}\:x+2x=3x, 3x+7<-3x`

`\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}, 3x+7-7<-3x-7`

`\mathrm{Simplify}, 3x<-3x-7`

`\mathrm{Add\:}3x\mathrm{\:to\:both\:sides}, 3x+3x<-3x-7+3x`

`\mathrm{Simplify}, 6x<-7`

`\mathrm{Divide\:both\:sides\:by\:}6, (6x)/(6)<(-7)/(6)`

`\mathrm{Simplify}, x<-(7)/(6)`

`\mathrm{The\:Correct\:Answer\:is\:x<-(7)/(6)}`

`\mathrm{Hope\:This\:Helps!!!}`

`\mathrm{-Austint1414}`