8. Which graph correctly shows the solution of the compound inequality 3x > 3 and 9x < 54?
1 answer:
The answer is shown in the image attached
Compound inequality is an inequality made up of two inequalities joined together using 'or' or 'and'.
Given the inequalities 3x > 3 and 9x < 54. Solving both inequalities gives:
3x > 3 and 9x < 54
x > 1 and x < 6
x > 1 is equivalent to x ∈ (1, ∞)
x < 6 is equivalent to x ∈ (-∞, 6)
Therefore, combining the two inequalities together gives:
(1, ∞) ∩ (-∞, 6) = (1, 6)
Find out more at: brainly.com/question/24540195
You might be interested in
Answer: The required equation is and the number of fishes in the pond on June 1 = 115
Step-by-step explanation:
Given: The number of fishes in pond on July 1 = 63
Also, it is said that the number of fishes in pond on July 1 is 52 fewer(lesser) than the number of fishes in pond on June 1.
Let f be the number of fishes in pounds on June 1.
then the required equation will be
Now, add 52 on both the sides of the equation, we get
c(x) is a function, then we will solve the problem for two different functions.
1. If
Then
Using each of the values for x we have.
When x=0 the result is:
When x=0.008 the result is:
When x=0.027 the result is:
When x=0.064 the result is:
When x=0.125 the result is:
When x=0.216 the result is:
When x=0.343 the result is:
When x=0.512 the result is:
When x=0.729 the result is:
When x=1 the result is:
2. If
Then
Using each of the values for x we have.
When x=0 the result is:
When x=0.008 the result is:
When x=0.027 the result is:
When x=0.064 the result is:
When x=0.125 the result is:
When x=0.216 the result is:
When x=0.343 the result is:
When x=0.512 the result is:
When x=0.729 the result is:
When x=1 the result is: