Question

On a piece of paper, graph y - 5 > 2x - 10. Then determine which answer choice matches the graph you drew. А B C D 13. 1 13.0) (0, -5) 10,-5) 54 (0.-5) O A. Graph A B. Graph B O C. Graph C D. Graph D

Answer 1

We start by rearranging the inequality in order to have a slope-intercept version of the inequality:

`\begin{gathered} y-5>2x-10 \\ y>2x-10+5 \\ y>2x-5 \end{gathered}`

We can graph the boundary line, that is y=2x-5. This line, as the sign is ">" and not ">=", does not belong to the region of the inequality.

The slope is m=2 and the y-intercept is at y=-5.

The x-intercept is at x=5/2=2.5.

We know that the region is above this line, as it comprehends the values of y that are larger that 2x-5. Remember that the sign is y > 2x-5.

Then, we can graph the inequality as:

Answer: Graph B, as the line is not included and the region of the inequality is above the line.