Question

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

Answer 1

Answer:

$y\leq 1.93$

Step-by-step 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: $(5y-4)\leq\frac{17}{(-3)}$ (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).