Question

Solve the inequality.
`- (x)/(4) + 5 \ \textgreater \ 7`x > ____or x < ____

Answer 1

The given inequality :

`-(x)/(4)+5>7`

To simplify the expression :

`\begin{gathered} -(x)/(4)+5>7 \\ \text{Add }(x)/(4)\text{ on both side:} \\ -(x)/(4)+5+(x)/(4)>7+(x)/(4) \\ 5>7+(x)/(4) \\ \text{Subtract 7 from both side :} \\ 5-7>7-7+(x)/(4) \\ (-2)>(x)/(4) \\ \text{Multiply both side by 4 :} \\ 4(-2)>4*(x)/(4) \\ -8>x \\ x<(-8) \end{gathered}`

x < ( -8 )

Answer : x < ( - 8)