Given info: -17/2 < (-1/2) - 4x ≤ 15/2
Find the value of x ?
Explanation:↓
Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2
⇛ -17/2 < (-1-8x)/2 ≤ 15/2
On multiplying with 2 then
⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)
⇛ -17 < -1-8x ≤ 15
On adding 1 in the in-equation then
⇛ -17+1 < -1-8x+1 ≤ 15+1
⇛ -16 < -8x ≤ 16
On dividing by 8 in the in-equation then
⇛ -16/8 < -8x/8 ≤ 16/8
⇛ -2 < -x ≤ 2
⇛ 2 > x ≥ - 2
⇛ -2 ≤ x < 2
⇛ x € [-2,2)
Answer:→The solution set = { x : -2 ≤ x < 2, x€R }
The possible values of x = -2,-1,0,1
If you have any doubt, then you can ask me in the comments.
