the solution set of I3x+2I<1 contains what kind of #'s

Question

when i solve it the inequalities are the same, is that ok

Answer 1

David:

 

If the inequality is 13 *x +21<1 then if you solve it:

 

13x < -20

 

so x <-20/13

 

I don't understand what you mean when you say "when I solve it the inequalities are the same?"

 

 

David:

 

Sorry for my misread:

 

If the absolute value of 3x +2 is positive, 3x + 2 < 1  so 3x <1-2  3x < -1  x < -1/3

 

If the absolute value of 3x +2 is negative, -(3x +2) < 1  so -3x -2 < 1    -3x <1 + 2     -3x <3    Divide by -1 and turn the arrow

3x>-3  so x > -1

 

so the two answers to the inequality are: x < -1/3  and x > -1

 

I hope that this helps.

 

Denny Rose

Galion, OH 

 

Denny Rose

Galion, OH