Question

- If Andrea does 5 more hours of community service, she will have at least the 12

hours of service required by her school. This can be represented by the
inequality below, where x stands for the number of hours of community service
that Andrea has already done.
1+52 12
Which number line BEST represents all values of x that satisfy this inequality?

Answer 1

The first/top option

Explanation:

First, we can find the inequality that the line is representing. X is the number of hours she has already done, and she has five hours more to do to fulfill the 12 or more hours of required service. The inequality would be x+5≥12.

The minimum that X has to be is 7 because any value lower than 7 would make the inequality false[ ex. 6 + 5 ≠ 12 ]. The arrow would be pointing to the right, because 7 is the minimum value, not the max, so any value higher than 7 would still make the inequality true. Lastly, the circle would be filled, because 7 is included in the set of values that make the inequality true[ 7 + 5 = 12 ].

So, the answer would be the first option.