हिंदी

Solve 24x < 100, when x is a natural number. - Mathematics

Advertisements
Advertisements

प्रश्न

Solve 24x < 100, when x is a natural number.

योग

उत्तर

Given that 24x < 100 we get Dividing both sides by 24

⇒ x < `100/24`

⇒ x < `25/6`

x is a natural number.

We know that only 1, 2, 3, 4 natural numbers are less than `25/6`.

If x is a natural number, then the solution is {1, 2, 3, 4}.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Linear Inequalities - Exercise 6.1 [पृष्ठ १२२]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 6 Linear Inequalities
Exercise 6.1 | Q 1.1 | पृष्ठ १२२

संबंधित प्रश्न

Solve 24x < 100, when x is an integer.


Solve –12x > 30, when x is an integer.


Solve 5x – 3 < 7, when x is an integer.


Solve 5x – 3 < 7, when x is a real number.


Solve 3x + 8 > 2, when x is an integer.


Solve the given inequality for real x: x + `x/2` + `x/3` < 11


Solve the given inequality for real x : `x/3 > x/2 + 1`


Solve the given inequality for real x: `1/2 ((3x)/5 + 4) >= 1/3 (x -6)`


Solve the given inequality for real x: 2(2x + 3) – 10 < 6 (x – 2)


Solve the given inequality for real x: 37 ­– (3x + 5) ≥ 9x – 8(x – 3)


Solve the given inequality for real x: `x/4 < (5x - 2)/3 - (7x - 3)/5`


Solve the given inequality for real x: `((2x- 1))/3 >= ((3x - 2))/4 - ((2 - x))/5`


Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.


Solve the inequality.

2 ≤ 3x – 4 ≤ 5


Solve the inequality.

`-3 <= 4 - (7x)/2  <= 18`


Solve the inequality.

`7 <= (3x + 11)/2 <= 11`


Represent to solution set of each of the following in equations graphically in two dimensional plane:

2. x + 2y ≥ 6 


Represent to solution set of each of the following inequations graphically in two dimensional plane:

5. −3x + 2y ≤ 6 


Represent to solution set of each of the following inequations graphically in two dimensional plane:

6. x ≤ 8 − 4y


Represent to solution set of each of the following inequations graphically in two dimensional plane: 

0 ≤ 2x − 5y + 10 


Represent to solution set of each of the following inequations graphically in two dimensional plane: 

y ≥ 2x − 8 


State whether the following statement is True or False.

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


State whether the following statement is True or False.

If |x| < 5, then x ∈ (–5, 5)


State whether the following statement is True or False.

Graph of x > –2 is


State whether the following statement is True or False.

Solution set of x – y ≤ 0 is


Solution of a linear inequality in variable x is represented on number line given below ______. 


Solution of a linear inequality in variable x is represented on number line given below ______.


If x > –2 and x < 9, then x ∈ (– 2, 9)


If |x| > 5, then x ∈ (– `oo`, – 5) ∪ [5, `oo`)


If |x| ≤ 4, then x ∈ [– 4, 4]


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×