Respuesta :

Answer:

See below

Step-by-step explanation:

r/6 <-6      multiply both sides by 6 to get

r < - 36

  or    4r+2 > 18     subtract 2 from both sides of the equation

            4r > 16        divide both sides by 4

             r > 4

Itz5151

Step-by-step explanation:

[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]

[tex]4r + 2 > 18 \: \: \: \: \: \: \: \: \: \: ...2[/tex]

Solving for inequality 1:

  • [tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]

Multiplying both sides by 6:

  • 6 * 1/6 r < -6*6
  • r < -36

Hence the solution is r < -36

Solving for inequality 2:

  • 4r + 2 > 18

Subtract 2 from both sides:

  • 4r + 2 - 2 > 18 - 2
  • 4r > 16

Divide both sides by 4:

  • [tex] \cfrac{4r}{4} > \cfrac{16}{4} [/tex]
  • [tex]r > 4[/tex]

Hence the answer is r > 4.