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Natali [406]
3 years ago
11

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

Mathematics
1 answer:
likoan [24]3 years ago
4 0

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).

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