Question

****BRAINLIEST The graph shows the solution for which inequalities?



y ≥ x + 2 and y ≤ 2x + 3
y ≥ x - 2 and y ≤ 2x - 3
y ≥ 3x - 2 and y ≤ x + 3
y ≤ 3x - 2 and y ≥ x + 3

Answer 1

Answer:

$y\geq 3x-2$ and $y\leq \frac{1}{2} x+3$

Step-by-step explanation:

Blue:

The inequality for the blue line is

$y\geq 3x-2$

Yellow

The inequality for the yellow line is

$y\leq \frac{1}{2} x+3$

This means that the correct answer is the third option,

$y\geq 3x-2$ and $y\leq \frac{1}{2} x+3$

Answer 2

The graph shows the solution for the inequalities y ≥ 3x - 2 and y ≤ x + 3.

How can find the inequalities?

The inequalities can be found by substituting the coordinates of a point within the shaded area in both inequalities and seeing if they are satisfied.

We can find the inequalioties as follows:

The options are given.

Let us take the options one by one:

• Option A: y ≥ x + 2 and y ≤ 2x + 3

Now, substitute (0,0) in the inequalities:

0 ≥  2 and 0 ≤  3

This is not true.

• Option B: y ≥ x - 2 and y ≤ 2x - 3

Now, substitute (0,0) in the inequalities:

0 ≥ - 2 and 0 ≤ - 3

This is not true.

• Option C: y ≥ 3x - 2 and y ≤ x + 3

Now, substitute (0,0) in the inequalities:

0 ≥ - 2 and 0 ≤ 3

This is true.

• Option D: 0 ≤ - 2 and 0 ≥ 3

Now, substitute (0,0) in the inequalities:

0 ≥ - 2 and 0 ≤ - 3

This is not true.

Therefore, we have found that the inequalities are y ≥ 3x - 2 and y ≤ x + 3. The correct answer is option C.

Learn more about inequalities here: https://brainly.com/question/24372553

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