Question

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

Answer 1

ANSWER

$u=10$

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;

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