Question

AcuveDetermining If a Number Is a SolutionQUICK CHECKWhich values are solutions to the inequality -3x – 4< 2? Check all of the boxes that apply.-4-2OOO03DONE

Answer 1

We have the next inequality given:

`-3x-4<2`

Solve the x variable:

Add both sides 4

`\begin{gathered} -3x-4+4<2+4 \\ -3x<6 \end{gathered}`

Divide both sides by 3

`\begin{gathered} (-3)/(3)x<(6)/(3) \\ -x<2 \end{gathered}`

Finally, multiply both sides by -1:

`\begin{gathered} (-1)(-x)<2(-1) \\ x>-2 \end{gathered}`

Hence, x can take any value greater than -2.

So, the solutions that apply are 0 and 3.