Question

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

Answer 1

`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).