briannasybert12
briannasybert12 briannasybert12
  • 06-04-2019
  • Mathematics
contestada

Which ordered pair is a solution of the inequality?
Y-1<2x
a. (3,7)
b. (1,8)
c. (2,7)
d. (3,-11)

Respuesta :

gmany
gmany gmany
  • 07-04-2019

Answer:

d. (3, -11)

Step-by-step explanation:

[tex]y-1<2x\qquad\text{add 1 to both sides}\\\\y<2x+1\\\\\text{Substitute the coordinates of the points and check the inequality:}\\\\a.\ (3,\ 7)\\7<2(3)+1=6+1=7\qquad\text{FALSE}\\\\b.\ (1,\ 8)\\8<2(1)+1=2+1=3\qquad\text{FALSE}\\\\c.\ (2,\ 7)\\7<2(2)+1=2+1=5\qquad\text{FALSE}\\\\d.\ (3,\ -11)\\-11<2(3)+1=6+1=7\qquad\text{TRUE}[/tex]

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