find the solution of following inequation 10 <4x-5<21,x€N
Answers
Answered by
8
Step-by-step explanation:
10 <4x-5
10+5 <4x
15 <4x
- 15/4 <x
4x-5 <21
4x <21+5
4x <26
- x <26/4
Answered by
0
The value of the variable X would lie in the open interval 15/4 and 26/4. X = 4, 5, 6
Given
- 10 <4x-5<21
To find
- the value of x
Solution
we are provided with an inquality and are asked to find the value of the variable contained in the inquality, X such that the inequality will hold good.
the given iniquality,
10 <4x-5<21
or, 10 +5 < 4x < 21×5
or, 15 < 4x < 26 ( adding 5 throughout the inequality)
or, 15/4 < x < 26/4
or, 3.75 < x < 6.5 ( dividing 4 throughout the inequality) X belongs to natural number
Therefore, the value of the variable X would lie in the open interval 15/4 and 26/4.
or, x = 4, 5, 6
#SPJ3
Similar questions