हिंदी

Solve: 4x − 2 < 8, When X ∈ N - Mathematics

Advertisements
Advertisements

प्रश्न

Solve: 4x − 2 < 8, when x ∈ N 

उत्तर

\[\text{ We have }, 4x - 2 < 8\]
\[ \Rightarrow 4x < 8 + 2 (\text{ Transposing - 2 to the RHS) }\]
\[ \Rightarrow 4x < 10\]
\[ \Rightarrow x < \frac{10}{4} (\text{ Dividing both the sides by 4 })\]
\[ \Rightarrow x < \frac{5}{2}\] 

\[x \in N\]
\[\text{ Then, the solution of the given inequation is } \left\{ 1, 2 \right\} .\] 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 15: Linear Inequations - Exercise 15.1 [पृष्ठ १०]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 15 Linear Inequations
Exercise 15.1 | Q 3.3 | पृष्ठ १०

संबंधित प्रश्न

Solve: 12x < 50, when x ∈ R 


Solve: 12x < 50, when  x ∈ Z 


Solve: −4x > 30, when  x ∈ R 


x + 5 > 4x − 10 


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


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


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


\[\frac{5x + 8}{4 - x} < 2\]


Solve each of the following system of equations in R.

2x − 7 > 5 − x, 11 − 5x ≤ 1


2x + 6 ≥ 0, 4x − 7 < 0 


Solve each of the following system of equations in R. 

2x − 3 < 7, 2x > −4 


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  

\[\left| \frac{3x - 4}{2} \right| \leq \frac{5}{12}\] 


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


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


Solve \[\left| x + 1 \right| + \left| x \right| > 3\] 

 


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


Write the solution set of the inequation 

\[x + \frac{1}{x} \geq 2\] 


Mark the correct alternative in each of the following: 

If − 3x\[+\]17\[< -\]13, then


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  \[\frac{\left| x - 2 \right|}{x - 2}\]\[\geq\] then


Solve 1 ≤ |x – 2| ≤ 3.


Solve for x, |x + 1| + |x| > 3.


If `1/(x - 2) < 0`, then x ______ 2.


If |x − 1| ≤ 2, then –1 ______ x ______ 3


If |3x – 7| > 2, then x ______ `5/3` or x ______ 3.


Solve for x, the inequality given below.

|x − 1| ≤ 5, |x| ≥ 2


Solve for x, the inequality given below.

`-5 ≤ (2 - 3x)/4 ≤ 9`


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 ______.


Given that x, y and b are real numbers and x < y, b < 0, then ______.


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


If `2/(x + 2) > 0`, then x  ______ –2.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×