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

User Steveng
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4 votes

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).
–3(5y – 4) ≥ 17 Solve and graph on a number line thanks-example-1
User Ticallian
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