Answer:
B- closed circle on 8, shading to left.
Step-by-step explanation:
We have been given an inequality [tex]x-3\leq 5[/tex]. We are asked to choose the correct description of the graph of the compound inequality.
Let us solve for x.
[tex]x-3+3\leq 5+3[/tex]
[tex]x\leq 8[/tex]
Since we have been given a less than or equal to sign, so we will have a solid dot at [tex]x=8[/tex].
Since the solutions for our given inequality are less than and equal to 8, so we will shade in all values of x that are to the left of 8.
Therefore, option B is the correct choice.