Can someone help me please please

Answers:

1. (0, 1) No ❌

2. (1, 2) No ❌

3. (0, -1) Yes ✅

4. (-1, -1) No ❌

5. (2, -4) Yes ✅

EXPLANATION

To do this you have to use the x and the y value and put them into the equation.

NUMBER ONE

the ordered pairs are (0,1) pairs are written as (x,y) so 0 is the x value and 1 is the y value

So instead of

Y < -2x + 1

And

Y x - 1

We have

1 < -2(0) + 1 ❌

And

1 ≤ 0 - 1 ❌

Then you solve

With 1 < -2(0) + 1

Multiply -2 x 0 and you get 0

Now add one to 0 and you get 1

1 < 1

And one is NOT greater than 1

With 1 ≤ 0 - 1

0 - 1 = -1

1 ≤ -1

1 is not less than it equal to -1

These are NOT true

(Just do the same with every ordered pair)

1. No

2. No

3. Yes

4. No

5. Yes

Step-by-step explanation:

Given the systems of linear inequalities: y < -2x + 1 and y ≤ x - 1:

In order to determine whether the given ordered pairs are solutions to the system, you could simply substitute their values into both inequality statements to see whether the ordreed pairs will satisfy both linear inequalities in the given system.

1) (0, 1)

y < -2x + 1  

1 < -2(0) + 1

1 < 0 + 1

1 < 1 (False statement).

y ≤ x - 1

1 ≤ 0 - 1

1 ≤ - 1 (False statement).  

Therefore, (0, 1) is not a solution.

2) (1, 2)

y < -2x + 1  

2 < -2(1) + 1

2< -2 + 1

2 < - 1 (False statement).

y ≤ x - 1

2 ≤ 1 - 1

2 ≤ 0 (False statement).  

Therefore, (1, 2) is not a solution.

3) (0, -1)

y < -2x + 1  

-1 < -2(0) + 1

-1 < 0 + 1

-1 < 1 (True statement).

y ≤ x - 1

- 1 ≤ 0 - 1

- 1 ≤ - 1 (True statement).  

Therefore, (0, 1) is a solution, as it satisfies both linear inequality statements.

4) (-1, -1)

y < -2x + 1  

-1 < -2(-1) + 1

- 1 < 2 + 1

- 1 <  3 (True statement).

y ≤ x - 1

-1 ≤ -1 - 1

- 1 ≤ -2 (False statement).  

Therefore, (-1, -1) is not a solution because the ordered pair only satisfies one of the linear inequalities, and not both.

5) (2, -4)

y < -2x + 1  

-4 < -2(2) + 1

-4 < -4 + 1

-4 < -3 (True statement).

y ≤ x - 1

-4 ≤ 2 - 1

-4  ≤  1 (True statement).  

Therefore, (2, -4) is a solution.

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Ithink it’s b, hope this .