Question

Which inequality has no solution?

Answer 1

Answer:

B is the correct answer

Step-by-step explanation:

Answer 2

1). 6(x + 2) >  x - 3

Simplify both sides of inequalities:
6x + 12 > x - 3

Subtract x from both sides:
6x + 12 - x >  x - 3 - x

5x + 12 >  - 3


Subtract 12 from both sides:
5x + 12 - 12 > - 3 - 12
5x >  - 15

Divide both sides by 5:
5x/5 >  -15/5
Answer:  x > - 3


3). - 2(x + 6) <  x  - 20
Simplify both sides:
-2x - 12 < x - 20

Subtract x from both sides:
- 2x - 12 - x <  - 20 - x
- 3x - 12 <  - 20

Add 12 to both sides: 
- 3x - 12 + 12 <  - 20 + 12
- 3x <  - 8

Divide both sides by - 3:
- 3x/ - 3 <  - 8/ - 3

Answer:  x  > 8/3



4).  x - 9 <  3(x - 3)
Simplify both sides of inequalities:
x - 9 < 3x - 9


Subtract 3x from both sides:
x - 9 - 3x < 3x - 9 - 3x
- 2x - 9  <  - 9

Add 9 to both sides:
- 2x - 9 + 9 <  - 9 + 9
- 2x <  0

Divide both sides by - 2:
- 2x/ - 2  <  0/2

Answer:  x  >  0


2). 3 + 4x is less than or equal to 2(1 + 2x)

Simplify both of the inequalities:
4x + 3 is less than or equal to 4x + 2

Subtract 4x from both sides:
4x + 3 - 4x is less than or equal to 4x + 2 - 4x

3 is less than or equal to 2

Subtract 3 from both sides:

3 - 3 is less than or equal to 2 - 3
0  is less than or equal to  - 1


Answer:  There are no Solutions






Hope that helps!!!! ( Answer: Letter Choice (B), There are no solution)