–3(5y – 4) ≥ 17 Solve and graph on a number line thanks

Question

asked Feb 10, 2020 22.6k views

1 Answer

Ticallian · Answer 1 · 2020-02-16T02:22:55+0000

Answer:

$y\leq 1.93$

Explanation:

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