Answer:
The solution of given system is
[tex]t < \frac{38}{17}[/tex]
Step-by-step explanation:
Explanation:-
Given 12t−2<−5t+36
Step(i):-
Adding '5t' on both sides, we get
12t - 2 +5t < -5t +36 +5t
17t -2 < 36
Step(ii):-
Adding ' 2' on both sides , we get
17t -2 +2 < 36 + 2
17t < 38
Step(iii):-
Dividing '17' on both sides , we get
[tex]\frac{17t}{17} < \frac{38}{17}[/tex]
[tex]t < \frac{38}{17}[/tex]
Conclusion:-
The solution of given system is
[tex]t < \frac{38}{17}[/tex]