The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. which point is a solution? (−1, 1) (1, −1) (3, 2) (2, 3)

(3,2)

Step-by-step explanation:

You can substitute or you can see which ordered pair is in the shaded area.

(-1,1):

y  ≤ 2x - 4

1 ≤ 2(-1) - 4

1 ≤ -2 - 4

1 ≤ -6

(-1,1) is NOT a solution.

(1,-1):

y ≤ 2x - 4

-1 ≤ 2(1) - 4

-1 ≤ 2 - 4

-1 ≤ -2

(1,-1) is NOT a solution.

(3,2):

y ≤ 2x - 4

2 ≤ 2(3) - 4

2 ≤ 6 - 4

2 ≤ 2

(3,2) IS a solution.

(2,3):

y ≤ 2x - 4

3 ≤ 2(2) - 4

3 ≤ 4 - 4

3 ≤ 0

(2,3) is NOT a solution.

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

Let us tackle the problem.

This probem is about Linear Inequality.

Given:

To determine which point is a solution , we could plot the points on the graph. The point that is in the shaded region will be the solution.

Let: point A (-1,1) , B (1,-1) , C (3,2) , D (2,3).

As shown in the graph in the attachment, from the four known points, only point C(3,2) is inside the shaded area.

∴ Point C is one of the solution of y ≤ 2x − 4

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !