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

Given inequality -3(4-6x) < x+5.

We have -3 in front of Parenthesis.

That represents multiplication of -3 and Parenthesis.

The multiplication of Parenthesis could be done by applying distributive property.

On distributing, we get

-12+18x < x+5

x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get

-12+18x-x < x-x+5

-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

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

x<1.

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btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )