Answer:
Substitute 3x - 5 for y in the second equation.
Step-by-step explanation:
Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).
Then turn the system into the equation of only y (or x).
Next, try to solve for y (or x).
Then substitute the solved y (or x) into the original system to work out x (or y).
**********
3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).
=> Remaining option relating substitution would be a reasonable choice.
Step-by-step explanation:
first inequality gives
(2sinx−1)(sinx+2)>0
(sinx−
2
1
)>0
6
Π
<x<
6
5Π
second inequality gives
(x+1)(x−2)<0
−1<x<2
common part is
6
Π
<x<2
hOpe it help!!!
1. D: The overlap of the two sets represents the intersection, which is the set of elements common to both sets <em>M</em> and <em>C</em>. In this case, it's the set {4, 5, 6}.
2. D: <em>P</em> is the set of the first 100 multiples of 8 (8*1 = 8, 8*2 = 16, and so on)
3. C: <em>n</em>(<em>A</em>) represents the number of elements in the set <em>A</em>. When
that means the sets <em>A</em> and <em>B</em> are disjoint, represented by the two circles with no overlap.
4. E:
is the set of elements belonging to either set <em>A</em> or <em>B</em>. The three elements of <em>A</em> are all in <em>B</em>, so <em>A</em> is a subset of <em>B</em>. This means 
.
Because <em>A</em> is a subset of <em>B</em>, we have 
.
is the complement of , which refers to the set of elements *not* belong to . These are all the numbers in <em>U</em> that are not in this union, which would be 
.
Because we know , we have 
.
