Answer:
Step-by-step explanation:
Set is a well defined collection of objects .
We can express set in roaster form or set - builder form
<u>Roaster Form</u>
We express elements within curly brackets using commas between the elements .
<u>Set Builder Form</u>
In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .
We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .
(a)The set of all humans whose first name is Tanya or Nelson
We need to write this one in set builder form .
Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }
The correct answer would be B.
Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
Answer:
it is 7
Step-by-step explanation: