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.

Answer Link

Otras preguntas

How Was The Weimar Republic Governed?
What is the circulatory system
members of the wide waters club pay $105 per summer season plus $9.50 each time they rent a boat. non members must pay $14.75 each time they rent a boat. how ma
6 2/3 as a decimal and fraction
Hughes admits that the main reason he wanted to go to Columbia was a show called __________. a. The Verge c. A Bill of Divorcement b. Shuffle Along d. The Emper
is a skunk a herbivore
A 8kg object falls what is it weight
Some scholars see the Enlightenment as a continuation of the scholarship developed in the _____. Select the best answer from the choices provided. Middle Ages R
Is this proper grammar? L’impressionnisme est un movement artistique français qui est né d’artistes du dix-neuvième siècle.
Which of these measures most strongly contradicted the prevailing ideas of the time? (5 points) the draft propaganda economic planning suppression of dissent