Question

The graph of an inequality is shown below. Write the inequality represented by the graph.

Answer 1

y = 2x-3

Explanation:

The one that you wrote is correct

Answer 2

The inequality of the graph is given as y ≥ 2x - 3

How to get the inequality of the graph

The equation of a straight line is

y - y₁ =
`(y_2-y_1)/(x_2-x_1)` (x - x₁)

Such that we would have

y - 1 =
`(-1-1)/(1-2)` (x - 2)

we have to open the equation

y - 1 ≥ -2 / -1 (x - 2)

y - 1 ≥ 2(x - 2)

y - 1 ≥ 2x - 4

y ≥ 2x - 4 + 1

y ≥ 2x - 3

The inequaluty shown by the graph is y ≥ 2x - 3