Question 894262
If the problem is {{{8/3}}}{{{t+1>-5}}} , you solved it.
{{{-9/4=-2.25}}} and we can graph that value on a number line.
{{{number_line( 600, -10, 10, -2.25)}}}
All the numbers to the right of {{{-9/4}}} on the number line are solutions to the equation.
There is an infinite number of them, including fractions like {{{1/2}}} and {{{-23/11}}} , and fancy numbers like {{{pi}}} .
For easy examples,
{{{t=0}}} is a solution, because {{{8/3)*0+1=1>-5}}} ;
{{{t=-2}}} is a solution, because {{{8/3)*(-2)+1=-16/3+1=-16/3+3/3=-13/3=-4^1/3>-5}}}  ,
but {{{t=-3}}} is not a solution, because {{{8/3)*(-3)+1=-8+1=-7<-5}}} .


However, if your problem was {{{8/"3 t"+1>-5}}} , it is a different story.
You could still write {{{8/"3 t">-6}}} , and multiplying times {{{3/8}}} you would get
{{{1/t>-9/4}}} .
From there, I would divide {{{1=1}}} by {{{1/t>-9/4}}} to get
{{{1/"1 / t" <1/"- 9 / 4"}}} ---> {{{t<-4/9}}}