To know the value that y takes according to the inequation [tex]-3(5y-4)\geq 17[/tex], we must do some algebra.
First of all, we divide both terms by (-3), wich would change the direction of the inequality, as follow: [tex](5y-4)\leq\frac{17}{(-3)}[/tex] (at this point you should remember that dividing or multiplying an inequation by anegative number changes the direction of the inequality)..
This means that [tex](5y-4)\leq 5.67[/tex]. Then,we just have to add both sides 4, which yields [tex]5y\leq 5.67+4[/tex].
Then [tex]5y\leq 9.67[/tex], which means that, if we divide both sides by 5, we obtain the value of y: [tex]y\leq 1.93[/tex] (in this case, the direction of inequality does not change because 5 is possitive).
