Mathematics
Given, x ∈ {integers}, find the solution set of : -5 ≤ 2x - 3 < x + 2.
Linear Inequations
10 Likes
Answer
Given,
-5 ≤ 2x - 3 < x + 2
Solving L.H.S. of the equation,
⇒ -5 ≤ 2x - 3
⇒ 2x ≥ -5 + 3
⇒ 2x ≥ -2
⇒ x ≥ -1 ………(i)
Solving R.H.S. of the equation,
⇒ 2x - 3 < x + 2
⇒ 2x - x < 2 + 3
⇒ x < 5 ………(ii)
From (i) and (ii) we get,
-1 ≤ x < 5
∴ Solution set = {-1, 0, 1, 2, 3, 4}.
Answered By
4 Likes
Related Questions
Find three consecutive largest positive integers such that the sum of one-third of first, one-fourth of second and one-fifth of third is at most 20.
Solve the following inequation and represent the solution set on the number line :
4x - 19 < , x ∈ R
Solve the following inequation and write the solution set :
13x - 5 < 15x + 4 < 7x + 12, x ∈ R
Represent the solution on a real number line.
Solve the following inequation and represent the solution set on a number line.
, x ∈ I