Answer:
The solution to the inequality is:
[tex]x\leq 1[/tex]
i.e. the solution is the collection of all the points which are less than or equal to 1.
Step-by-step explanation:
We are given a linear inequality in terms of the single variable x as follows:
[tex]8\geq 3x+5[/tex]
which could also be written as:
[tex]3x+5\leq 8[/tex]
on subtracting both side of the inequality by 5 we have:
[tex]3x+5-5\leq 8-5\\\\3x+0\leq 3\\\\3x\leq 3[/tex]
on dividing both side of the inequality by 3 we have:
[tex]x\leq 1[/tex]
The shaded region will be to the left of 1 with closed circle at 1.
