MarioE519796 MarioE519796
  • 25-10-2022
  • Mathematics
contestada

writing and solving inequalities the sum of eight times a number and negative four exceeds twelve

Respuesta :

IzaiO321114 IzaiO321114
  • 25-10-2022

To do this, you first write the sentence in mathematical language, like this

[tex]8x+(-4)>12[/tex]

Where x is that number mentioned in the sentence. So solving for x you have

[tex]\begin{gathered} 8x+(-4)>12 \\ 8x-4>12 \\ \text{Add 4 both sides of the inequality} \\ 8x-4+4>12+4 \\ 8x>16 \\ \text{Divide by 8 on tho both sides of the inequality} \\ \frac{8x}{8}>\frac{16}{8} \\ x>2 \end{gathered}[/tex]

Therefore,

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