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

Question

asked Jul 20, 2023 187k views

2 Answers

Iambriansreed · Answer 1 · 2023-07-27T02:02:16+0000

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