SOLUTION: I have problems with Algebra and wanted to know if someoe could please help me with the following three problems; 2x+5<8 3x+1>10 1<3x+2<12 (I should just solve them but

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I have problems with Algebra and wanted to know if someoe could please help me with the following three problems; 2x+5<8 3x+1>10 1<3x+2<12 (I should just solve them but       Log On


   



Question 179151: I have problems with Algebra and wanted to know if someoe could please help me with the following three problems;
2x+5<8
3x+1>10
1<3x+2<12

(I should just solve them but could someone also show me how I can check if they are right?)
It would be great if someone could help me with those three problems.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
I have problems with Algebra and wanted to know if someoe could please help me with the following three problems;
2x+5<8
3x+1>10
1<3x+2<12

(I should just solve them but could someone also show me how I can check if they are right?)
It would be great if someone could help me with those three problems. 


 To check it, notice that 3%2F2=1.5

Substitute in 1.4 and 1.6, If 1.5 is
correct then 1.4 should check because it
is slightly less than "<", 3%2F2 and 1.5
should NOT check because it is slightly
greater than ">" 3%2F2.

Substituting 1.4



So 1.4 checks.

Now substitute 1.5



1.6 doesn't chack, and
it shouldn't because it
is greater than 3%2F2


3x+1>10 



So 3.1 should check, but 2.9
should not check.

1<3x+2<12

 

To check, notice that -1%2F3 is -.3333
Therefore,
-.4 should not check, and -.2 should check.

Also notice that 10%2F3 is 3.333
Therefore,
3.2 should check, and 3.4 should not check. 

Edwin