Which of the following is equivalent to 2 (3x+2) < -5(x-6)?

Question

a. 6x + 4 < -5x + 30
b. 6x + 4 < -5x - 30
c. 6x + 4 > -5x + 30
d. 6x + 4 > -5x - 30

Answer 1

2(3x + 2) < - 5(x - 6)

First: eliminate the parenthesis --- distribute the outer term with the terms in parenthesis.....

2(3x) + 2(2) < - 5(x) - 5(- 6)

6x + 4 < - 5x - (-30)

6x + 4 < - 5x + 30

Answer 2

Use the distributive property.

2(3x+2) = 2*3x + 2*2 = 6x + 4

-5(x-6) = -5*x -5*(-6) = -5x + 30.

So it's a, 6x+4 < -5x + 30.

Answer 3

Factoring:
a. 6x + 4 < -5x + 30
2(3x + 2) < -5(x - 6)
That one is equivalent.
<>
b. 6x + 4 < -5x - 30
c. 6x + 4 > -5x + 30
d. 6x + 4 > -5x - 30

Answer 4

2 (3x+2) < -5(x-6)
when you distribut the number in front of the bracktets it should look like this

2*3x + 2*2 < -5*x + 5*6

there is a plus on the right because multiplying 2 negatives make a positive
there fore as it stands your answer is a

Answer 5

2(3x + 2) < - 5(x - 6)

6x + 4 < - 5x + 30

The answer is a

- - - - - - - - - - - -s-

Answer 6

2 (3x+2) < -5(x-6)

distribute

6x + 4 < -5x + 30


A

Answer 7

it has been awhile since I have been in math so I could be a bit off course here, but multiplying by a negative nbr reverses the inequality sign. now the thing is I don't remember if they whole equation needs to be multiplied by the negative number, or if it is just one side. if it is just one side the -5 would reverse the sign. and C would be the correct answer.

Answer 8

a

Answer 9

a

just multiply everything through to prove why

Answer 10

A