Question

If -12 ≤ 3-4x ≤ 11, x€N,then the solution set is *​

Answer 1

Answer:

Step-by-step explanation:

Given 3−4x<x−12

Subtracting 3 from both sides  

⟹−3+3−4x<x−12−3

⟹−4x<x−15

Subtracting x from both sides  

⟹−4x−x<x−x−15

⟹−5x<−15  ⟹x>3

(Dividing by -5 and reverse the symbols)  

As xϵ−1,0,1,2,3,4,5,6,7

The solution  set= { 4, 5, 6, 7}

Answer 2

Given 3−4x<x−12

Subtracting 3 from both sides

⟹−3+3−4x<x−12−3

⟹−4x<x−15

Subtracting x from both sides

⟹−4x−x<x−x−15

⟹−5x<−15 ⟹x>3

(Dividing by -5 and reverse the symbols)

As xϵ−1,0,1,2,3,4,5,6,7

The solution set= { 4, 5, 6, 7}