Choose the linear inequality that describes the graph. the gray area represents the shaded region. 4x + y < 4 4x + y > 4 4x – y ≥ 4 4x + y ≥ 4

 4x + y ≥ 4

Step-by-step explanation:

By the given graph,

The x-intercept of the line is , (1,0)

And, the y-intercept of the line is, (0,4)

Thus, the relation equation of the inequality,

⇒  

⇒

⇒

⇒  

⇒

Again, by the graph the inequality does not contain the origin.

Therefore, the possible inequalities are, 4x + y > 4 and 4x + y ≥ 4

Also, the line of related equation in the graph is a solid line,

⇒ The inequalities must hold the sign ≥.

Thus, the required inequality that shown in the given graph is,

4x + y ≥ 4

⇒ Fourth option is correct.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9