Question

The table shows the steps for solving the given inequality for x.

−3(4−6x)
Select the reason for each step from the drop-down menus.

Answer 1

Answer:step justification

- 3 (4 - 6x) < x + 5

- 12 + 18x < x + 5 distributive property (to solve the left side)

-12 + 17x < 5 subtraction property of equality (to transpose x

from right to left side)

subtraction of like terms (18x - x = 17x)

17x < 17 addition property of equality (to tranpose - 12

from left to right side)

addition of like terms (12 + 5 =17)

x < 1 division property of equality

Explanation:

Answer 2

step justification

- 3 (4 - 6x) < x + 5

- 12 + 18x < x + 5 distributive property (to solve the left side)

-12 + 17x < 5 subtraction property of equality (to transpose x
from right to left side)

subtraction of like terms (18x - x = 17x)

17x < 17 addition property of equality (to tranpose - 12
from left to right side)

addition of like terms (12 + 5 =17)

x < 1 division property of equality