Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by

where n is the number of elements in the set.
Therefore, subsets of the given set = 
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set = 
= 
= 32 - 1
= 31
Answer:
D would be the answer
Step-by-step explanation:
Answer:
C. (see the attachment)
Step-by-step explanation:
Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.
The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...
-y ≥ (something)
If we multiply by -1, we get ...
y ≤ (something else)
This means the solution space will be <em>on or below (less than or equal to) the boundary line</em>. This is the shaded area in graph C. (Graph B shows shading <em>above</em> the line.)
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<em>Further comment</em>
Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...
x ≥ (something)
indicating the solution space is <em>on or to the right of the boundary line</em>.
<h2><em>The x intercept is -250, and the y intercept is 100. x is the horizontal line, and the intercept is where the line goes through the x axis. Same thing for y only for the vertical line. So,</em></h2><h2><em>(-250, 0)</em></h2><h2><em>(0, 100)</em></h2>
T=s+14
T+s=82
(s+14)+s=82
2s+14=82
s=34
t+48