Question

Which graph represents the inequality y > 1-3x? ​

Answer 1

For this case we must indicate the graph of the following inequality:

$y\geq 1-3x$

It is observed that inequality includes equality, so the boundary line of the graph will not be dotted, so we discard options A and C.

We test option B, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.

$0 \geq1-3 (0)\\0 \geq1$

It is not fulfilled!

We test the last option, we choose the point (3,1) that belongs to the graph:

$1\geq1-3 (3)\\\1 \geq1-9\\1 \geq-8$

Is fulfilled!

Answer:

Option D