Answer:
c ≤ -2
Explanation:
−c + 2 ≥ 4
First, we can get rid of the -2 by adding it,
-c + 2 ≥ 4
-2 -2
The two's cancel out, so we can get rid of it. 4-2=2. Now, we're left with this:
-c ≥ 2
Recall that before every variable, there is an invisible 1. This might make it easier to see the next step and continue solving.
-c ≥ 2 (what we currently have) is the thing as -1c ≥ 2
Now, divide -1 from both sides.
-1/-1 c ≥ 2/-1
The negative ones cancel out, and 2/-1 is -2, so we're left with c ≥ -2.
However, since we divided by a negative number, we must flip the sign.
So, the final product is c ≤ -2.
For the graph: place a closed circle at -2. It's closed because it is less than or equal to than. When we have a less than or equal to than sign or a greater than or equal to than sign, the circle is always closed. Place a closed circle at -2, and draw an arrow to the left because c is less than or equal to than -2.
The graph can look like the attached. Hope this helps!