Question

Which number line shows the correct solution to 4y - 82-20 ? H 4 -3 -2 -1 0 1 2 3 4 5 HHH O > & -3 -2 -1 0 1 2 3 4 5 HH H -4 -3 -2 -1 0 1 1 2 3 4 5 H → -3 -2 -1 0 1 2 3 4 5

Answer 1

To find which of the lines represent the solution we first need to solve the inequality:

`\begin{gathered} -4y-8\ge-20 \\ -8+20\ge4y \\ 12\ge4y \\ (12)/(4)\ge y \\ 3\ge y \end{gathered}`

the last line is equivalent as:

`y\leq3`

Now that we have the solution we can look at the line that represents it. The solution tells us that y is less or equal to 3, this means that the solutions are to the left of the number 3. Now, since the inequality is not an exact one that means that the 3 is also a solution, which also means that the circle over the 3 has to be a solid one.

With this in mind we conclude that the line representing the solution is the third option.