मराठी

5 X − 6 X + 6 < 1 - Mathematics

Advertisements
Advertisements

प्रश्न

\[\frac{5x - 6}{x + 6} < 1\]

उत्तर

\[\frac{5x - 6}{x + 6} < 1\]
\[ \Rightarrow \frac{5x - 6}{x + 6} - 1 < 0\]
\[ \Rightarrow \frac{5x - 6 - x - 6}{x + 6} < 0\]
\[ \Rightarrow \frac{4x - 12}{x + 6} < 0\]
\[ \Rightarrow \frac{x - 3}{x + 6} < 0\]

\[\therefore x \in \left( - 6, 3 \right)\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 15: Linear Inequations - Exercise 15.1 [पृष्ठ १०]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 15 Linear Inequations
Exercise 15.1 | Q 24 | पृष्ठ १०

संबंधित प्रश्‍न

Solve: −4x > 30, when x ∈ N 


Solve: 4x − 2 < 8, when x ∈ Z 


3x + 9 ≥ −x + 19 


\[\frac{3x - 2}{5} \leq \frac{4x - 3}{2}\] 


\[\frac{x}{5} < \frac{3x - 2}{4} - \frac{5x - 3}{5}\]


\[\frac{2x + 3}{4} - 3 < \frac{x - 4}{3} - 2\]


\[\frac{1}{x - 1} \leq 2\]


Solve each of the following system of equations in R.

x − 2 > 0, 3x < 18 


2x + 6 ≥ 0, 4x − 7 < 0 


Solve each of the following system of equations in R. 

3x − 6 > 0, 2x − 5 > 0 


Solve each of the following system of equations in R. 

2x + 5 ≤ 0, x − 3 ≤ 0 


Solve each of the following system of equations in R. 

3x − 1 ≥ 5, x + 2 > −1 


Solve each of the following system of equations in R. 

 4x − 1 ≤ 0, 3 − 4x < 0 


Solve each of the following system of equations in R. 

\[\frac{7x - 1}{2} < - 3, \frac{3x + 8}{5} + 11 < 0\]


Solve the following system of equation in R. 

\[\frac{2x + 1}{7x - 1} > 5, \frac{x + 7}{x - 8} > 2\] 


Solve  

\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\] 


Solve  \[\frac{\left| x + 2 \right| - x}{x} < 2\] 


Solve  \[\frac{\left| x - 2 \right| - 1}{\left| x - 2 \right| - 2} \leq 0\] 


Solve  \[\frac{1}{\left| x \right| - 3} \leq \frac{1}{2}\]


Solve  \[\left| 3 - 4x \right| \geq 9\]


Mark the correct alternative in each of the following:
Given that xy and are real numbers and x\[<\]yb\[>\]0, then

 


Mark the correct alternative in each of the following:
If is a real number and  \[\left| x \right|\]\[<\]5, then


Mark the correct alternative in each of the following:
If and are real numbers such that a\[>\]0 and \\left| x \right|\]\[>\]a, then

 


Mark the correct alternative in each of the following:
The inequality representing the following graph is 


Mark the correct alternative in each of the following:
If  \[\frac{\left| x - 2 \right|}{x - 2}\]\[\geq\] then


The cost and revenue functions of a product are given by C(x) = 20x + 4000 and R(x) = 60x + 2000, respectively, where x is the number of items produced and sold. How many items must be sold to realise some profit? 


If `|x - 2|/(x - 2) ≥ 0`, then ______.


The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.


If |x + 3| ≥ 10, then ______.


If –x ≤ –4, then 2x ______ 8.


If a < b and c < 0, then `a/c` ______ `b/c`.


In drilling world’s deepest hole it was found that the temperature T in degree celcius, x km below the earth’s surface was given by T = 30 + 25(x – 3), 3 ≤ x ≤ 15. At what depth will the temperature be between 155°C and 205°C?


If x < 5, then ______.


x and b are real numbers. If b > 0 and |x| > b, then ______.


If |x + 2| ≤ 9, then ______.


State which of the following statement is True or False.

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


If x < –5 and x > 2, then x ∈ (– 5, 2)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×