Question

5Graph the solution to – 2 < 2d – 2 < 6 -

Answer 1

Step-by-step explanation:

Here, we want to solve and graph the compound inequaqlity

We start by solving the sides, one at a time

`\begin{gathered} -2\text{ < 2d-2} \\ -2+2\text{ < 2d} \\ 0\text{ < 2d} \\ 0\text{ < d} \end{gathered}`

For the second part, we have:

`\begin{gathered} 2d-2\text{ }\leq\text{ 6} \\ 2d\leq\text{ 6 + 2} \\ 2d\leq\text{ 8} \\ d\text{ }\leq(8)/(2) \\ d\leq\text{ 4} \end{gathered}`

Now, let us write the solution in compound from:

`0\text{ < d }\leq\text{ 4}`

Finally, we proceed to plot the graph as follows: