Answer to Question #21854 in Algebra for Shanell

Question

Is -1 a solution to 4x+5<3 ? If so show the work

Answer 1

To find out if -1 is a solution for 4x+5<3 we should substitute -1 instead of x:
4(-1)+5<3
-4+5<3
1<3 that's true so -1 is a solution.
To find all solutions we should transform initial inequality:
4x+5<3
4x<-5+3
4x<-2
x<-1/2
As you can see, obtained set of solutions contains -1.