Theory:
The standard form of set-builder notation is <span>
{ x | “x satisfies a condition” } </span>
This set-builder notation can be read as “the set
of all x such that x (satisfies the condition)”.
For example, { x | x > 0 } is
equivalent to “the set of all x such that x is greater than 0”.
Solution:
In the problem, there are 2 conditions that must
be satisfied:
<span>1st: x must be a real number</span>
In the notation, this is written as “x ε R”.
Where ε means that x is “a member of” and R means “Real number”
<span>2nd: x is greater than or equal to 1</span>
This is written as “x ≥ 1”
Answer:
Combining the 2 conditions into the set-builder
notation:
<span>
X =
{ x | x ε R and x ≥ 1 } </span>
Question 1 is F question 2 is D
Answer:
Step-by-step explanation:
Since log is defined by all positive real numbers
therefore domain is all positive real number that is ( 0,∞)
Range is given by real numbers
inverse of the given function is (10^x)/7
Whose domain is all real numbers and range is all positive real number
And since we know that domain of function and range of its inverse
& range of a function and domain of its inverse is same
which we are getting in the problem
so answer is justified
Answer:
Yes it is.
Step-by-step explanation:
Yes it is.
Rational number is the subset of:
- Whole number(Positive number+0)
- Natural number
- Negative numbers
- Fractions &
- Decimals
-9 is a decimal, and decimals are subset of rational number so -9 is a rational number.
Hope this helps ;) ❤❤❤
Gimbles Stuff will have the higher expected value.
Explanation: 15,000x0.3= 4,500 whereas 10,000x0.4= 4,000
