Answer:
See the explanation
Step-by-step explanation:
We are given the following inequality: [tex]4(k-2)\leq 5k-3[/tex]. In order to graph this on a number line, we need to first solve this inequality by isolating our variable. Let's start with that:
[tex]4(k-2)\leq 5k-3\\4k-8\leq 5k-3\\-k\leq 5\\k\geq -5[/tex]
Now, we just have to graph this. We know that there will be a dot on -5, and the arrow will go to the right (since the sign is a "greater than or equal to" sign). Furthermore, the dot will be a solid, filled-in dot since the sign is "greater than or equal to" (-5 is part of the graph too). So, make sure you pick the rightmost arrow type and drag it to the -5 on the graph.
