Question

ANSWER ASAP PLS I DONT WANT TO FAIL work needs to be shown too AND LOTS OF POINTS WILL BE REPORTED IF WRONG

Answer 1

See the explanation

Explanation:

We are given the following inequality:
`4(k-2)\leq 5k-3`. 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:

`4(k-2)\leq 5k-3\\4k-8\leq 5k-3\\-k\leq 5\\k\geq -5`

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.