Answer: n ≤ 7
Explanation:
−n + 3 ≥ −4
Subtract 3 to both sides.
−n + 3 - 3 ≥ −4 - 3
The three's cancel out, and -4 - 3 = -7.
Now, we have −n ≥ −7.
Remember that every variable has an invisible one before it. This may make it easier to visualize the problem better, but it is not necessary if you already have that in mind.
So, −n ≥ −7 is the same thing as −1n ≥ −7.
Divide -1 from both sides:
−1/-1 n ≥ −7/-1
The ones cancel out, and -7/-1 is 7.
That leaves us with n ≥ 7. However, since we divided by a negative number, we flip the sign. So, the final product is n ≤ 7.
Graph:
Place a closed circle at 7. The circle is closed because the sign tells us that n is less than or equal to than 7. When we have a less than or equal to than or a greater than or equal to than, the circle is always closed. When we have just a greater than or less than sign the circle is open, but that is not our case here. After placing the closed circle at 7, put the arrow to the left of 7. This is because n is less than or equal to than 7, and we have all the numbers less than 7 to the left of 7.
The graph can look like this:
Hope this helps!