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

Question

asked Nov 25, 2020 102k views

2 Answers

Lizabeth · Answer 1 · 2020-11-28T16:56:57+0000

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