Question

Which system of inequalities is represented by the graph?

y < 2x
y ≤ 1
y > 2x
y ≥ 1
y ≤ 2x
y < 1
y ≥ 2x
y > 1

Answer 1

the answer would be the 3rd option

Answer 2

We are given a graph of the system of inequalities.

Given system of inequalities:

1) y < 2x

y ≤ 1

2) y > 2x

y ≥ 1

3) y ≤ 2x

y < 1

4) y ≥ 2x

y > 1.

In the show graph, we can see that red shaded portion have a dotted line.

And the graph is shaded above the dotted line.

Because graph is shaded above the dotted line, it should be only greater than sign.

So, the inequality y > 1 would best fit for that above shaded portion of the graph.

We, can see in 4th option we have y > 1 ( y is greater than 1).

Therefore, correct option is 4th option :

y ≥ 2x

y > 1