A- { 2, 3, 5, 7, 11, 13 }
B- { 2, 3, 5, 7, 9, 11, 13 }
C- { 1, 3, 5, 7, 9, 11, 13 }
D- { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 }
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Write the solution to the inquality in set-builder notation.
9t - 4 >32
A- { t | t > 4 }
B- { t | t > 6 }
C- { t | t > 28 }
D- { t | t > 36 }
Mathematically speaking, roster form of a set is a list of elements that are in the set.
Basically, to represent a set in roster form, we simply list the elements of the set, separated by commas, within braces.
as per the question, consider the set, S, described verbally:
S = {all prime numbers less than 15}
To write this in roster form, we would first identify all the elements in the set. Let's see. . . the integers that are strictly greater than 0 and less than or equal to 4 would be the integers that are between 0 and 4, not including 0, but including 4, so 1, 2, 3, and 4.
Now we just write these integers, separated by commas, within braces.
S = {2, 3, 5, 7, 11, 13}. So answer is option A
Set notation is a representation of a set of the form {element | properties of that element}.
To represent the inequality in set builder notation, we will first have to solve for the inequality as follows:
9t - 4 >32
Step 1: Add 4 on LHS(Left hand side) and RHS(right hand side) of the inequality.
9t > 36
Step 2: Divide LHS and RHS by 9
t > 4
This means that the inequality holds for all values of t greater than 4 i.e.
{ t | t > 4 }. so answer is option A
ate a third of what was left on the
plate. Christine came by and decided to take a fourth of the remaining cookies with
her to her next class. Then Daniel came dashing up and took a cookie to munch on.
When Eva looked at the plate, she saw that there were two cookies left. She wondered how many cookies
were on the plate to begin with?
Answer:
10 2/3
Step-by-step explanation:
So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.