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Which graph represents the inequality Y is greater than one minus 3X

Which graph represents the inequality Y is greater than one minus 3X-example-1
User RameshVel
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2 Answers

5 votes

For this case we must indicate the graph corresponding to the following expression:


y> 1-3x

We have that the inequality is open (does not include the =), so the border line of the graph must be dotted. Then, we discard options B and C.

Rewriting the inequality we have:


y> -3x + 1

It is observed that the slope is negative "-3", and the cut-off point with the y-axis is 1.

In addition, we substitute the point (0,0) in the equation and see if it is met:


0> -3 (0) +1\\0> 0 + 1\\0> 1

It is not fulfilled! Point (0,0) does not belong to the graph of that inequality.

Thus, the correct option is D.

Answer:

Option D

User Lizabeth
by
7.8k points
5 votes

Answer:

D

Explanation:

The equation is

y>1-3x

use the graph tool to visualize the inequality as shown in the attached graph

Which graph represents the inequality Y is greater than one minus 3X-example-1
User Aaron Hayman
by
7.2k points