# Answer to Question #21854 in Algebra for Shanell

Question #21854

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

Expert's answer

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.

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.

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