English

State which of the following statement is True or False. If xy > 0, then x < 0 and y < 0 - Mathematics

Advertisements
Advertisements

Question

State which of the following statement is True or False.

If xy > 0, then x < 0 and y < 0

Options

  • True

  • False

MCQ
True or False
Advertisements

Solution

This statement is True.

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Linear Inequalities - Exercise [Page 111]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Exercise | Q 31.(iii) | Page 111

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Solve the given inequality graphically in two-dimensional plane: x + y < 5


Solve the given inequality graphically in two-dimensional plane: 2x + y ≥ 6


Solve the given inequality graphically in two-dimensional plane: y + 8 ≥ 2x


Solve the given inequality graphically in two-dimensional plane: x – y ≤ 2


Solve the given inequality graphically in two-dimensional plane: 2x – 3y > 6


Solve the given inequality graphically in two-dimensional plane: –3x + 2y ≥ –6


Solve the given inequality graphically in two-dimensional plane: 3y – 5x < 30


Solve the given inequality graphically in two-dimensional plane: x > –3


A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius/Fahrenheit (F) conversion formula is given by `F= 9/8` C + 32?


Solve the following systems of linear inequation graphically:

 2x + 3y ≤ 6, 3x + 2y ≤ 6, x ≥ 0, y ≥ 0 


Solve the following systems of linear inequations graphically: 

x − y ≤ 1, x + 2y ≤ 8, 2x + y ≥ 2, x ≥ 0, y ≥ 0


Solve the following systems of linear inequations graphically: 

 x + y ≥ 1, 7x + 9y ≤ 63, x ≤ 6, y ≤ 5, x ≥ 0, y ≥ 0 


Solve the following systems of linear inequations graphically:

2x + 3y ≤ 35, y ≥ 3, x ≥ 2, x ≥ 0, y ≥ 0 


Show that the solution set of the following linear inequations is empty set: 

x + 2y ≤ 3, 3x + 4y ≥ 12, y ≥ 1, ≥ 0, y ≥ 0 


Find the linear inequations for which the shaded area in Fig. 15.41 is the solution set. Draw the diagram of the solution set of the linear inequations: 


Show that the solution set of the following linear in equations is an unbounded set:
x + y ≥ 9
3x + y ≥ 12
x ≥ 0, y ≥ 0


Solve the following systems of inequations graphically: 

12x + 12y ≤ 840, 3x + 6y ≤ 300, 8x + 4y ≤ 480, x ≥ 0, y ≥ 0


Solve the following systems of inequations graphically: 

x + 2y ≤ 40, 3x + y ≥ 30, 4x + 3y ≥ 60, x ≥ 0, y ≥ 0 


Solve the following systems of inequations graphically: 

 5x + y ≥ 10, 2x + 2y ≥ 12, x + 4y ≥ 12, x ≥ 0, y ≥ 0


Show that the following system of linear equations has no solution:  

\[x + 2y \leq 3, 3x + 4y \geq 12, x \geq 0, y \geq 1\]


Mark the correct alternative in each of the following:

If x\[<\]7, then


Write the solution of the inequation\[\frac{x^2}{x - 2} > 0\]


Find the linear inequalities for which the shaded region in the given figure is the solution set.


State which of the following statement is True or False.

If xy > 0, then x > 0 and y < 0


Graph of x < 3 is


Graph of y ≤ 0 is


Solution set of x + y ≥ 0 is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×