Mathematics : asked on dlo2457
 28.12.2021

Which of the following is NOT a solution of the inequality y<-1

. 0

Step-by-step answer

09.07.2023, solved by verified expert
Unlock the full answer

Hello.

y<-1

The sign "<" means "less than"

The solutions of the inequality are less than -1.

For example, -2 is a solution of the inequality (it makes the inequality true)

The numbers that don't make the inequality true are greater than -1.

For example, let's take 3.

3 is greater than -1.

Plug it into the inequality:

3<-1

As we can see, we have a false statement.

Therefore, the answer is:

Which of the following is NOT a solution of the, №18009780, 28.12.2021 19:21

I hope this helps.

Have a nice day.

Which of the following is NOT a solution of the, №18009780, 28.12.2021 19:21

It is was helpful?

Faq

Mathematics
Step-by-step answer
P Answered by Master

Hello.

y<-1

The sign "<" means "less than"

The solutions of the inequality are less than -1.

For example, -2 is a solution of the inequality (it makes the inequality true)

The numbers that don't make the inequality true are greater than -1.

For example, let's take 3.

3 is greater than -1.

Plug it into the inequality:

3<-1

As we can see, we have a false statement.

Therefore, the answer is:

\mathrm{Numbers\:greater\:than\:-1\:aren't\:solutions}

I hope this helps.

Have a nice day.

\boxed{imperturbability}

Mathematics
Step-by-step answer
P Answered by PhD
The answer to this is (6,-2)
Mathematics
Step-by-step answer
P Answered by PhD
Y > = 2 | x - 1| - 2...subbing in (1,0)
0 > = 2 | 1 - 1| - 2
0 > = 2 (0) - 2
0 > = -2...correctso (1,0) is part of the solution

y > | x + 1| - 1...subbing in (1,1)
1 > | 1 + 1| - 1
1 > 2 - 1
1 > 1incorrectso (1,1) is not part of the solution

less then or equaldashed line, shaded below

x = cashier job hrs, y = babysitting hrs
y > = 0
x > = 0
6x + 6y = 60
x < = 12
y < = 12
Mathematics
Step-by-step answer
P Answered by PhD
Y > = 2 | x - 1| - 2...subbing in (1,0)
0 > = 2 | 1 - 1| - 2
0 > = 2 (0) - 2
0 > = -2...correctso (1,0) is part of the solution

y > | x + 1| - 1...subbing in (1,1)
1 > | 1 + 1| - 1
1 > 2 - 1
1 > 1incorrectso (1,1) is not part of the solution

less then or equaldashed line, shaded below

x = cashier job hrs, y = babysitting hrs
y > = 0
x > = 0
6x + 6y = 60
x < = 12
y < = 12
Mathematics
Step-by-step answer
P Answered by PhD

Hello, I can give you some help w/ steps below! Hope this helps a lot :D

1.

8x < 48 || divide 8 on both sides of the equal sign

x < 6 || final answer, so your correct

2.

10 + x > 23 || subtract 10 on both sides of the equal sign

x > 13 || final answer, so your correct

3.

x - 14 < 28 || add 14 on both signs of the equal sign

x < 42 || final answer

4.

\frac{y}{21} < 3 || multiply 21 on both sides

y < 63 || final answer

5.

2p < 18 || divide 2 on both sides of the equal signs

p < 9 || final answer

6. i have no idea how to do this one, sorry!

Mathematics
Step-by-step answer
P Answered by Specialist

The answer is A.

Step-by-step explanation:

You have to substitute (0,0) into the inequalities equation to see whether it satisfy both equations :

EQUATION 1 :

y \geqslant  {x}^{2}  - 4

0 \geqslant  {0}^{2}  - 4

0 \geqslant  - 4 \: (satisfy)

EQUATION 2 :

y < 2x - 1

0 < 2(0) - 1

0 < </strong<strong-</strong<strong </strong<strong1 \: (not \: satisfy)

Therefore, (0,0) satiafy equation 1 but not equation 2.

Mathematics
Step-by-step answer
P Answered by PhD

Hello, I can give you some help w/ steps below! Hope this helps a lot :D

1.

8x < 48 || divide 8 on both sides of the equal sign

x < 6 || final answer, so your correct

2.

10 + x > 23 || subtract 10 on both sides of the equal sign

x > 13 || final answer, so your correct

3.

x - 14 < 28 || add 14 on both signs of the equal sign

x < 42 || final answer

4.

\frac{y}{21} < 3 || multiply 21 on both sides

y < 63 || final answer

5.

2p < 18 || divide 2 on both sides of the equal signs

p < 9 || final answer

6. i have no idea how to do this one, sorry!

Mathematics
Step-by-step answer
P Answered by PhD

The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.

The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3

Try asking the Studen AI a question.

It will provide an instant answer!

FREE