Meleenagnazario100
Meleenagnazario100 Meleenagnazario100
  • 25-06-2021
  • Mathematics
contestada

which number line represents the solution set for the inequality
3(8-4x) < 6(x-5) ?

which number line represents the solution set for the inequality 384x lt 6x5 class=

Respuesta :

joaobezerra joaobezerra
  • 30-06-2021

Answer:

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

[tex]3(8 - 4x) < 6(x - 5)[/tex]

It is solved similarly to an equality, so:

[tex]24 - 12x < 6x - 30[/tex]

[tex]-18x < -54[/tex]

Multiplying by -1, the signal changes from < to >. So

[tex]18x > 54[/tex]

[tex]x > \frac{54}{18}[/tex]

[tex]x > 3[/tex]

Thus the correct answer is given by the second number line.

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