Answer:
We are given a inequality with the equality sign in terms of variable 'r' as:
[tex]-2r+3\geq 19[/tex]
Now we find the solution of the following inequality by solving for 'r'.
We subtract 3 from both side of the inequality to obtain:
[tex]-2r+3-3\geq 19-3\\\\-2r\geq 16[/tex]
Now we multiply both side by "-1" to obtain:
[tex]2r\leq -16[/tex]
Now on dividing both side of the inequality by 2 we obtain:
[tex]r\leq -8[/tex]
Hence, the solution of the inequality are the set of all the points on the number line which are less than equal to -8.
i.e. the shaded region is to the left of -8 and closed circle at -8.
i.e. the solution is: (-∞,-8].
Number 2 graph is the correct graph of the solution.
