Question

Solve the compound inequality. 4 x - 6 ≥ −10 or 3 x +5 ≤ −10

Answer 1

Hello : 
 4 x - 6 ≥ −10  .....(1)
 or
 3 x +5 ≤ −10 ....(2)
(1) : 4x ≥ -4
   x ≥ -1 
(2) : 3x ≤ -15
x ≤ -5
conclusion : x ≤ -5 or  x ≥ -1 
the set solution is :   ] -∞, - 5 ] ∪[-1,+∞[