Question

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}

Answer 1

3x+10>_4

Answer 2

3x+10≥4

Answer 3

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}.

Answer 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.

Answer 5

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.