Question

I am not 100% sure on how to do this. Could you help me?

Answer 1

ANSWER and EXPLANATION

We are given two inequalities:

`y\text{ + 4 }\leq6\text{ and y - 4 }\leq6`

Let us solve both of them:

`\begin{gathered} y\text{ + 4 }\leq6 \\ \Rightarrow\text{ y }\leq\text{ 6 - 4} \\ y\text{ }\leq2 \\ \\ y\text{ - 4 }\leq\text{ 6} \\ \Rightarrow\text{ y }\leq\text{ 6 + 4} \\ y\text{ }\leq\text{ 10} \end{gathered}`

Now let us compare and contrast

SIMLIARITY

For the both of them, we collect the like terms by taking the numerical terms to the right hand side.

DIFFERENCES

For the first one, we subtract 4 from 6 because its sign changes after taking it to the right hand side while for the second one, we add 4, for the same reason.