The given statement is false because it isn't an empty set!
<u>Step-by-step explanation:</u>
We have following sets of inequalities:
From 
we get ,
Therefore solution set is x=2.
Now, for 
we get ,
Therefore solution set is x>2.
For 
we get ,
Therefore solution set is x<2.
Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!
Area of triangles:
0.5x9=4.5
4.5x2=9 (i divided 4 (the amount of triangles) by 2 instead of dividing 4.5 by 2)
area of square:
0.5x0.5=0.25
surface area of whole thing:
9+0.25=9.25
so the answer is 9.25
hope this helps :)
Answer:
No solution.
Step-by-step explanation:
y + 3x - 4y = 0 + 0.75x
- 3y + 3x = 0 + 0.75x
- 3y + 3x - 0.75x = 0 + 0.75x - 0.75x
- 3y + 2.25x = 0
Note that
and
.
From the unit circle, we can check that
and
have the same value, but opposite signs, that is:
.
Thus,
.
Note that
is the x-coordinate of the lowest point on the unit circle, that is (0, -1). Thus
Answer: 0
