Question

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

Answer 1

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

`8x+(-4)>12`

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

`\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} \\ (8x)/(8)>(16)/(8) \\ x>2 \end{gathered}`

Therefore,