Write a system of inequalities to represent the shaded portion of the graph.

The solution of the system of inequalities 3x > y and x + y ≤ 4 is graphed by the shaded region given.

Step-by-step explanation:

See the graph attached.

The dotted straight line passes through the points (0,0) and (3,1).

Therefore, the equation is {Using the two point form of equation of straight line}

⇒ 3y = x ........ (1)

Therefore, the shaded part of the graph holds the equation 3y > x {AS the shaded portion does not include the straight line (1)}

Again, the equation of the firm line is given by {Applying the intercept form of equation of straight line}

⇒ x + y = 4 ......... (2)

Therefore, the shaded region of the graph is represented by the equation  x + y ≤ 4 {Since, the shaded region includes the line also}

Therefore, the solution of the system of inequalities 3x > y and x + y ≤ 4 is graphed by the shaded region given. (Answer)

the answer is b.)

< 1=< 2

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.