The table shows the steps for solving the given inequality for x. −3(4 − 6x) < x + 5 select the reason for each step from the drop-down menus. –3(4 − 6x) < x + 5 given −12 + 18x < x + 5 −12 + 17x < 5 subtraction property of order 17 x < 17 x < 1

We are given :  -3(4-6x) < x+5.

Solution: -3 is in front of Parenthesis.

We need to multiply -3 by (4-6x).

So, we need to applying distributive property.

On distributing, we get

-12+18x < x+5        (By distributive property)

The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get

-12+18x-x < x-x+5    (By subtraction property of equality).

-12+17x < 5

Now, we need to get rid -12 from left side.

So, we need to apply addition property of equality, we need to add 12 on both sides, we get

-12+12+18x < x+5+12    (By addition property of equality)

17x < 17

We need to get rid 17 from left side. So we need to apply division property of equality.

On dividing both sides by 17, we get

17x/17 < 17/17      (By division property of equality)

x < 1.

1.3 million hoops i believe