Question

What is the solution to the inequality -4x+3<31

Answer 1

`-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}`

Answer 2

x > - 7

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