bdebangshu5 bdebangshu5
  • 29-09-2021
  • Mathematics
contestada

−9 ≤ 3m − 4 < 11, m ∈ I​

Respuesta :

charlief22
charlief22 charlief22
  • 29-09-2021

Answer:

[tex]\frac{-5}{3} \leq m < 5[/tex]

Step-by-step explanation:

Isolate the 3m by adding 4 to every part of the inequality:

-9 ≤ 3m - 4 < 11

-9 + 4 ≤ 3m -4 + 4 < 11 + 4

-5 ≤ 3m < 15

Now, divide every part of the inequality by 3:

[tex]\frac{-5}{3} \leq \frac{3m}{3} < \frac{15}{3}[/tex]

[tex]\frac{-5}{3} \leq m < 5[/tex]

Hope this helps!

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