Question

2|x3| < -10Group of answer choicesno solutionx < 15x < -15 or x > 15x < -24 or x > 36 and here a picture of the questions

Answer 1

We are asked to solve for x.

`2|(x)/(3)|<-10`

Solution

`\begin{gathered} 2|(x)/(3)|<-10 \\ \text{Divide both sides by 2} \\ |(x)/(3)|<-(10)/(2) \\ |(x)/(3)|<-5 \\ \\ |x|*(1)/(|3|)<-5 \\ \\ (|x|)/(3)<-5 \\ \text{Multiply both sides by 3} \\ |x|<-5*3 \\ |x|<-15 \\ x\text{ can either be positive or negative.} \\ \\ \text{If x is positive:} \\ x<-15 \\ \\ \text{If x is negative:} \\ -x<-15 \\ \text{Divide both sides by -1} \\ x>15 \end{gathered}`

Answer

Thus, the answer is :

`x<-15\text{ or }x>15`