benbanks440
benbanks440 benbanks440
  • 21-11-2017
  • Mathematics
contestada

Which graph represents the solution for the open sentence 3|p| – 5 < 7.



Which graph represents the solution for the open sentence 3p 5 lt 7 class=
Which graph represents the solution for the open sentence 3p 5 lt 7 class=
Which graph represents the solution for the open sentence 3p 5 lt 7 class=
Which graph represents the solution for the open sentence 3p 5 lt 7 class=

Respuesta :

amanifreeman9 amanifreeman9
  • 26-11-2017
3p-5<7

add 5 to both sides

3p<12

divide 3 to both sides

p<4
the second graph B
Answer Link
codiepienagoya codiepienagoya
  • 04-03-2022

The graph representation of the equation is "p<4" which matches the "option 2" graph.

Graph representation:

[tex]\to \bold{3 |p|- 5 < 7}[/tex]

Therefore

[tex]\to |p|=p[/tex]

So,

[tex]\to 3 p- 5 < 7\\\\[/tex]

Solving the equation:

[tex]\to 3 p < 7+5\\\\\to 3 p < 12\\\\\to p < \frac{12}{3}\\\\\to p < 4[/tex]

Therefore the final answer is "p<4".

Find out more information about the graph here:

brainly.com/question/24586735

Ver imagen codiepienagoya
Answer Link

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