Answer:
x > - 7
Step-by-step explanation:
given - 4x + 3 < 31 ( subtract 3 from both sides )
- 4x < 28 ( divide both sides by - 4 )
Remembering to reverse the inequality symbol as a consequence of dividing by a negative quantity.
x > - 7 ← symbol reversed
[tex]-4x+3<31\qquad\text{subtract 3 from both sides}\\\\-4x<28\qquad\text{change the signs}\\\\4x>-28\qquad\text{divide both sides by 4}\\\\\boxed{x>-7}[/tex]
