The solution set of the inequality x ≥ - 4 using set builder notation and interval notation is {x | x ∈ Z, - 4 ≤ x ≤ ∞ } and [ - 4, ∞ ) respectively.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.
Interval Notation: A set of real numbers known as an interval contains all real numbers that fall inside any two of the set's numbers.
Consider the inequality,
x ≥ - 4
In the number line, the value of x is equal to and greater than - 4 increasing to infinity.
Therefore,
The solution set using the set builder notation is:
{x | x ∈ Z, - 4 ≤ x ≤ ∞ }
The solution set of the inequality using the interval notation is:
[ - 4, ∞ )
Learn more about set builder notation here:
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Answer: 15
Step-by-step explanation:
Let's define the concept of inverse functions.
If we have a function h(x), such that it has an inverse, and:
h(x) = y.
Then the inverse function j(x) must meet the following:
j(y) = x.
Now, we want to calculate:
h( j(15) ).
Let's suppose that:
j(15) = A.
(Where A can be any real number).
then, by the above relation, we must have that:
h(A) = 15.
Now we can replace j(15) by A in h(j(15)):
h( j(15) ) = h( A ) = 15.
Answer:
Step-by-step explanation:
11.04 I think
Answer:
I hink The B is the correct one .