ms1097115 ms1097115
  • 19-12-2018
  • Mathematics
contestada

graph the solution to the inequality 2x-3y<18

Respuesta :

gmany
gmany gmany
  • 25-12-2018

<, > - dotted line

≤, ≥ - solid line

[tex]2x-3y<18\qquad\text{subtract 2x from both sides}\\\\-3y<-2x+18\qquad\text{change the signs}\\\\3y>2x-18\qquad\text{divide both sides by 3}\\\\y>\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)[/tex]

Ver imagen gmany
Answer Link

Otras preguntas

If 15×5 equals what what times five equals what
The system of equations y=- x +5 and y= x - 1 is graphed. What is the solution to the system of equations?
Find the solution to 2/3x = -24
is this a function { (1,4), (2,5), (-1,3), (8,7), (2,2) }​
a universally accepted principle which does not require proof.
Give 1 example of each. Kinetic , Gravitational Potential , Chemical , Sound , & Radiant energy.
What are the solutions to the quadric equation x^2-16=0
Someone help please it’s hard for me
1 According to Steven Kreis, what were two reasons the Roman Catholic Church was criticized at the beginning of the 16th century? [2]
Type your short story here, unless your teacher instructs you otherwise.