Answer:
{2, 4}.
Step-by-step explanation:
A = {1, 2, 3, 4, 5} and B = {2, 4}.
A ∩ B?
This means intersection or what is in common
A ∩ B = {2, 4}.
Answer: The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Let x represent the number of 3-point questions.
Let y represent the number of 5-point questions.
The maths test consists of 24 questions. This means that
x + y = 24
Each question is worth either 3 points or 5 and the test is worth 100 points. This means that
3x + 5y = 100 - - - - - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
- 3y + 5y = 100 - 72
2y = 28
y = 28/2 = 14
Substituting y = 14 into x = 24 - y , it becomes
x = 24 - 14 = 10
Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.
The opposite of multiplying is dividing.
Divide -7x by -7 to get x.
-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)
You're left with x < 6
When we divide/multiply by a negative, we need to flip the inequality with the opposite value.
Your final inequality is:
x _> 6
I hope this helps you. :)
Answer:
q < 11
Step-by-step explanation:
Distribute the -3
23 - q > 12
Add q and subtract 12
q < 11
Answer: Found it
Step-by-step explanation:
