Write the inequality of the following graph

We can notice that : Line Passes through the Points (0 , 3) and (1 , 0)

Let us find the slope of the line in order to write the Equation of the Line.

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Points are (0 , 3) and (1 , 0)

here x₁ = 0 and x₂ = 1 and y₁ = 3 and y₂ = 0

As the line passes through (0 , 3) , The y - intercept is 3

We know that Equation of line is given by : y = mx + c

where m is the slope and c is the y-intercept

here m = -3 and c = 3

Equation of the Given line : y = -3x + 3

⇒ -3x - y = -3

⇒ 3x + y = 3

As the Given line is a Dotted line and the Shaded Region is Towards the Origin

The Inequality of the Graph is : 3x + y < 3

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.