हिंदी

Solve the inequalities and represent the solution graphically on number line: 5x + 1 > –24, 5x – 1 < 24 - Mathematics

Advertisements
Advertisements

प्रश्न

Solve the inequalities and represent the solution graphically on number line:

5x + 1 > –24, 5x – 1 < 24

योग
Advertisements

उत्तर

5x + 1 > –24

⇒ 5x > –25

⇒ x > –5 … (1)

5x – 1 < 24

⇒ 5x < 25

⇒ x < 5 … (2)

From (1) and (2), it can be concluded that the solution set for the given system of inequalities is (–5, 5). The solution of the given system of inequalities can be represented on number line as

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Linear Inequalities - Miscellaneous Exercise [पृष्ठ १३२]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 6 Linear Inequalities
Miscellaneous Exercise | Q 7 | पृष्ठ १३२

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Solve the given inequality graphically in two-dimensional plane: 3x + 4y ≤ 12


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


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: y < –2


How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?


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, 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: 


Find the linear inequations for which the solution set is the shaded region given in Fig. 15.42 


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:

2x + y ≥ 8, x + 2y ≥ 8, x + y ≤ 6 


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:  

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


Show that the solution set of the following system of linear inequalities is an unbounded region:  

\[2x + y \geq 8, x + 2y \geq 10, x \geq 0, y \geq 0\] 


Mark the correct alternative in each of the following:

If x\[<\]7, then


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


State which of the following statement is True or False.

If x < y and b < 0, then `x/"b" < y/"b"`


State which of the following statement is True or False.

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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×