Question

What is the greatest integer value of x for which 5-4x>17?

Answer 1

Hi there! The answer is -4

$5 - 4x > 17$
Subtract 5 from both sides.

$- 4x > 12$
$4x < - 12$
Divide by 4

$x < - 3$
Therefore, the largest integer value of x which makes the inequality true is -4. Not -3, because when filling in -3, the value isn't smaller than -3 anymore.
(Filling in x = -3 gives 17 > 17, which is incorrect).

Answer 2

The answer is -4 hope I helped