Write an inequality for the given graph. Picture above (Please Help!!)
1 answer:
Answer:
y <
Step-by-step explanation:
We will find the equation of the dotted line first.
Let the equation of the line is,
y = mx + b
Here, m = slope and b = y-intercept of the line
Slope 'm' =
m =
m =
Y-intercept 'b' = -3
Therefore, equation of the line is,
y =
Since, this line is a dotted line, it will represent an inequality with notation of less than or greater than (< or >)
Since, solution area (shaded area) of this inequality is below the line inequality will be,
y <
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Given:
A set of composite numbers less than 12.
To find:
The set by listing and set builder methods.
Solution:
Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.
Composite numbers less than 12 are 4, 6, 8, 9, 10.
By using the listing method , the given set can be expression as:
Set = {4, 6, 8, 9, 10}
The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.
By using set builder method, the given set can be expression as:
Set =
Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and respectively.
