Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal
set, and P = {2, 4, 6, 8, 10}. What is ?
(1 point)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{3, 5, 7, 9}
{1, 3, 5, 7, 9}
{2, 4, 8}
The complement of set P in the universal set U is the set of all elements in U that are not in P. Since P contains the even numbers from 2 to 10, the complement of P in U is {1, 3, 5, 7, 9}. Therefore, the answer is {1, 3, 5, 7, 9}.
3x+10>_4
To solve the inequality, we need to isolate the variable on one side of the inequality sign.
First, subtract 10 from both sides of the inequality:
3x + 10 - 10 ≥ -4 - 10
3x ≥ -14
Next, divide both sides of the inequality by 3:
(3x)/3 ≥ (-14)/3
x ≥ -14/3
In interval notation, the solution to the inequality is x ≥ -14/3.
3x+10≥4
To solve the inequality, we need to isolate the variable on one side of the inequality sign.
First, subtract 10 from both sides of the inequality:
3x + 10 - 10 ≥ 4 - 10
3x ≥ -6
Next, divide both sides of the inequality by 3:
(3x)/3 ≥ (-6)/3
x ≥ -2
In interval notation, the solution to the inequality is x ≥ -2.
To find the complement of a set, you need to consider what elements are missing from the given set in relation to the universal set.
In this case, the given set is P = {2, 4, 6, 8, 10}, and the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
To find the complement of P, we need to identify the elements that are in U but not in P.
So, the complement of P, denoted as P', would be all the elements in U that are not in P.
Let's find those elements:
P' = U - P
P' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {2, 4, 6, 8, 10}
P' = {1, 3, 5, 7, 9}
Therefore, the complement of P is {1, 3, 5, 7, 9}.
So, the correct answer is: {1, 3, 5, 7, 9}.