Question

For each value of u, determine whether it is a solution to 5u + 6 > 51.

Answer 1

`u=10`

Step-by-step explanation

Given

`5u+6>51`

To check if each of the given values is a solution;

We substitute each of the given values into the equation.

Hence, when;

`\begin{gathered} u=-1 \\ \end{gathered}`
`5u+6>51`

substitute

`u=-1`

We have;

`\begin{gathered} 5u+6\gt51 \\ 5\left(-1\right?+6>51 \\ -5+6>51 \\ 1>51 \end{gathered}`

Since ;

`1<51`

Hence;

`u=-1`

u = -1 is not a solution.

When

`u=10`
`\begin{gathered} 5u+6\gt51 \\ 5\left(10\right?+6>51 \\ 50+6>51 \\ 56>51 \end{gathered}`

Hence;

`u=10`

Is a solution.

When

`u=9`

Substitute u = 9

`\begin{gathered} 5u+6\gt51 \\ 5\left(9\right?+6>51 \\ 45+6>51 \\ 51>51 \end{gathered}`

Hence

`u=9`

is not a solution

Hence, since -6 is less than 9, -6 is not also a solution to the given equation.

Therefore the only solution is;