Share
Notifications

View all notifications
Advertisement

Find the Set of Values of X Satisfying `7x + 3 >= 3x - 5` and `X/4 - 5 <= 5/4 - X` Where X ∈ N - Mathematics

Login
Create free account


      Forgot password?

Question

Find the set of values of x satisfying

`7x + 3 >= 3x - 5` and `x/4 - 5 <= 5/4 - x` where x ∈ N

 

Solution

`7x + 3 >= 3x - 5`

`4x >= -8`

`x >= -2`

`x/4 - 5 <= 5/4 - x`

`x/4 + x <= 5/4 +  5`

`(5x)/4  <=25/4`

`x <= 5`

Since x ∈ N

∴ Solution set = {1, 2, 3, 4, 5}

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 4: Linear Inequations (In one variable)
Exercise 4(B) | Q: 25 | Page no. 50
Advertisement
Find the Set of Values of X Satisfying `7x + 3 >= 3x - 5` and `X/4 - 5 <= 5/4 - X` Where X ∈ N Concept: Representation of Solution on the Number Line.
Advertisement
View in app×