Question

I am solving inequalities then graphing my solution. in a problem such as

-2(c-1)<-22

how do i solve this? and also how do i know the greater then less then sign is going the right way?

Answer 1

-2(c-1)<-22
first divide both sides by negative 2 !! BUT !! remember that when you multiply (or divide) both sides of an inequality by a negative number you reverse the direction of the arrow.
so
c-1 > 11
c > 12

check
try c = 13
-2(12) < -22 ?
-24 < -22 right, good