Question
Which of the following ordered pairs (x, y) satisfies the inequality 5x – 3y < 4?
I. (1, 1)
II. (2, 5)
III. (3, 2)
- I only
- II only
- I and II only
- I and III only
The correct answer is: I and II only
HINT – Put the values of x and y and see if inequality still holds.
SOLUTION – The given inequality is 5x – 3y < 4
I. Put (x , y) = (1 , 1)
We get, 5
1 - 31 < 4
2 < 4 which is true. So, I satisfies the inequality
II. Put (x , y) = (2 , 5)
We get, 52 - 35 < 4
10 – 15 < 4
- 5 < 4 which is true. So, II satisfies the inequality
III. Put (x , y) = (3 , 2)
We get, 53 - 32 < 4
15 – 6 < 4
9 < 4 which is not true. So, III does not satisfies
Hence, option C is correct
Related Questions to study
2x + 3y = 31
3x - y = 30
If (x,y) is the solution to the system of equations above, what is the value of 100x + 40y ?
2x + 3y = 31
3x - y = 30
If (x,y) is the solution to the system of equations above, what is the value of 100x + 40y ?
If y = x2 + ax + a , where a is a constant, and y = 11 when x = 1 , what is the value of a ?
If y = x2 + ax + a , where a is a constant, and y = 11 when x = 1 , what is the value of a ?
A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?
That is to say, if we sampled this pool, we could not extrapolate that to the entire pool. For example, if you randomly selected twenty students from your class and discovered that 8% of them enjoy chocolate ice cream, this does not imply that 80% of the world enjoys chocolate ice cream. Okay, so then, we know that at least 95 percent of the people who go to the movies will dislike this movie. That's not certain because that's an extrapolation. After all, once again, we only asked two hundred people, so we can ask if everyone who reads the book will dislike the movie.
It is stated that most people who disliked the book will enjoy this movie. That is incorrect because it states that 95% of people opposed the film. That's not correct. Most people who liked the book will dislike the movie. So, that should be D.
A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?
That is to say, if we sampled this pool, we could not extrapolate that to the entire pool. For example, if you randomly selected twenty students from your class and discovered that 8% of them enjoy chocolate ice cream, this does not imply that 80% of the world enjoys chocolate ice cream. Okay, so then, we know that at least 95 percent of the people who go to the movies will dislike this movie. That's not certain because that's an extrapolation. After all, once again, we only asked two hundred people, so we can ask if everyone who reads the book will dislike the movie.
It is stated that most people who disliked the book will enjoy this movie. That is incorrect because it states that 95% of people opposed the film. That's not correct. Most people who liked the book will dislike the movie. So, that should be D.
for all positive values of x, what is the value of 
?
