Answer:
2x ≥ -14
Explanation:
FYI, a closed/filled in dot means the number it is on is part of the solution, whilst an open dot means the number it is on is not part of the solution. In this case, we have a closed dot on the plot, which means that -7 is a part of the solution.
Now that you know this, let's solve through each inequality.
Let's start with the first one, x - 14 > 7:
We can remove the constant on both sides by adding 14, resulting in:
x > 21 or x is greater than 21
Now let's move on to the next one (and decide answer later):
x - 7 ≥ 14
We can remove the constant by adding 7 on both sides, leaving us with:
x ≥ 21 or x is greater than or equal to 21
Next:
2x ≥ -14
To simplify, we can divide by two on both sides:
x ≥ -7 or x is greater than or equal to -7
Last but not least, we have:
14x ≥ -2
We can divide by 14 on both sides to get:
x ≥ -2/14 or x ≥ -1/7 which both mean that x is greater than or equal to -1/7.
These are the simplified equations:
x > 21 (incorrect)
x ≥ 21 (incorrect)
x ≥ -7 (correct)
x ≥ -1/7 (incorrect)
Of these, the third one is correct: 2x ≥ -14 as it works with the graph and does include -7 as a part of the solution.
Hope this helped!!! :DDD