With a closed circle on "-14/11" and a rightward arrow, accurately represents the inequality "-1/2m ≥ 7/11." Here option A is correct.
To determine which graph represents the inequality "-1/2m ≥ 7/11," let's first isolate "m":
"-1/2m ≥ 7/11"
Multiply both sides by -2 (note that multiplying or dividing by a negative number reverses the inequality sign):
"m ≤ -14/11"
Now, let's analyze the answer choices:
A - Number line with a closed circle on the point "-14/11" and an arrow shaded to the right. This represents "m ≤ -14/11," so option A is a valid representation.
B - Number line with a closed circle on the point "-7/22" and an arrow shaded to the right. This represents "m ≤ -7/22," which is not the correct inequality. So, option B is not correct.
C - Number line with a closed circle on the point "-14/11" and an arrow shaded to the left. This represents "m ≥ -14/11," which is not the correct inequality. So, option C is not correct.
D - Number line with a closed circle on the point "-7/22" and an arrow shaded to the left. This represents "m ≥ -7/22," which is not the correct inequality. So, option D is not correct.
Therefore, the correct answer is option A.
Complete question:
Which graph represents - 1/2m grater than or equal to 7/11
A - number line with closed circle on point negative 14 over 11 and arrow shaded to the right
B - number line with closed circle on point negative 7 over 22 and arrow shaded to the right
C - number line with closed circle on point negative 14 over 11 and arrow shaded to the left
D - number line with closed circle on point negative 7 over 22 and arrow shaded to the left