Tommy had 5621 crayons and he want to spilt it up with 23 people
Answer: T⊂U⊂W are subspaces of V
Step-by-step explanation:
Proof: This is the easier direction.
If T⊂U⊂W or W⊂U⊂T then we have U⊂T⊂W = T or T⊂U⊂W = U
orT⊂U⊂W=W respectively.
SoT⊂U⊂W is a subspace as T, U and W are subspaces.
1st case :T⊂U⊂W is true Then the disjunction W⊂U⊂T or U⊂T⊂W is trivially true.
Let x∈W1 and y∈W2−W1.
By the definition of the union, we have x∈W∪T∪C and y∈T⊂U⊂W
As T∪U∪W is a subspace, x+y∈T∪C∪W which, again by the definition of the union, means that x+y∈W∪T∪C
V∈W∪T∪C
As V was arbitrary, as desired.
<h3>
Answer: -10 (choice D)</h3>
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To find this answer, you apply the given translation rule to the coordinates of point P(-2,6)
We see that point P' has a y coordinate of <u>-10</u>
This translation, aka shifting, rule moved point P 2 units to the left and 16 units down.
Answer:
1. 28 − 3(x − 2) < 5x + 10 Given
2. 28 − (3)(x) + (-3)(-2) < 5x + 10 Distributive Property <em>a(b + c) = ab+ ac</em>
28 − 3x + 6 < 5x + 10
3. (28 + 6) - 3x < 5x + 10 Combine Like Terms
34 − 3x < 5x + 10
4. 34 - 3x + 3x < 5x + 3x + 10 Addition Property of Order
34 < 8x + 10
5. 34 - 10 < 8x + 10 - 10 Subtraction Property of Order
24 < 8x
6. 24/8 < 8x/8 Division Property of Order
3 < x