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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

Choose the linear inequality that describes the graph. The gray area represents the-example-1
User Aguid
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2 Answers

4 votes
4x + y > 4 Should be you're answer.....

User Martin Tonev
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4 votes

Answer: 4x + y ≥ 4

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,


y - 0 = (4-0)/(0-1) (x-1)


y = (4)/(-1) (x-1)


- y = 4(x-1)


-y = 4x - 4


4x - 4 + y = 0


4x + y = 4

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.

User Casteurr
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