Question

PLEASE HELP

Answer 1

Answer:

y ≤ x – 4  will be the linear inequality is represented by the graph.

Step-by-step explanation:

Given : graph.

To find :  Linear inequality equations .

Solution : We have given graph,

We can see from graph here y intercept is -4 and solid line shaded below ,

Since , For shaded below graph we can say equation have less than equal sign. and y intercept -4.

Therefore, y ≤ x – 4  will be the linear inequality is represented by the graph.

Answer 2

Answer:

Option 2 -  $y \leq x -4$

Step-by-step explanation:

To find : Which linear inequality is represented by the graph?

Solution :

If we see the graph attached in the question.

There is a shift of 4 unit downward along x-axis.

Which means $x\rightarrow x-4$

So, From options there is (1) or (2)

Now to check feasible region,

Put x and y equals to zero in (1) and (2),

$y \geq x -4$

$0\geq 0 -4$

$0 \geq -4$

It is true which means shaded region is towards origin.

$y \leq x -4$

$0\leq 0 -4$

$0 \leq -4$

It is false which means shaded region is away from origin.

In the graph region is away from origin.

Now, The graph is away from origin $y \leq x -4$ is the required linear inequality.

Therefore, Option 2 is correct.