Answer
$(-\infty,-16)$
Work Step by Step
$12x+14\lt11x-2$
Solve for x.
Subtract 11x from both sides then subtract 14 from both sides.
$12x+14-11x\lt11x-2-11x$
$x+14\lt-2$
$x+14-14\lt-2-14$
$x\lt-16$
Which is written in interval notation as
$(-\infty,-16)$
where ) indicates that the solution set for x approaches but does not include -16.
