Question

Find the solution set of each inequality below and then determine which inequalities have the same solution set as 1/3(-5x-3) <14

Answer 1

You can do anything to an equation as long as you do it to both sides
for inequalities, when multiplying or dividing both sides by a negative, flip the sign


1/3(-5x-3)<14
times both sides by 3/1
-5x-3<14
add 3 to both sides
-5x<17
divide both sides by -5
flip sign
$x$