First, solve the inequality:

Since x is <u>greater than</u> -8, you have the arrow point up the graph towards the positive side starting at -8.
Since it's greater than but not equal to -8, the circle is open.
Thus your graph is
D.
Answer:
The best estimate for 43x78 is 40x80
Step-by-step explanation:
43 rounded to the nearest ten is 40.
78 rounded to the nearest ten is 80.
The answer to 40x80 is 3200
A, C, and D. Hope this helps!
The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
<h3>Inequalities </h3>
From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
Learn more on Inequalities here: brainly.com/question/1447311
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We effectively rewrite the equation as

In order for the LHS to be defined, we need to restrict
, or
. Now, the LHS will vanish when the numerator is 0, which happens for

This value is indeed smaller than 4, so the solution is
.