Question

2 (x + 8) > 18 + x -4 need this really soon

Answer 1

Hey there!

ANSWER: $x>-2$

EXPLANATION:

$2(x+8)>18+x-4$

In our first step, we will need to simplify the inequality.

$2x+16>x+14$

Now we have to subtract x from both sides of the inequality.

$2x+16-x>x+14-x=x+16>14\\x+16>14$

In our last step, we will need to subtract 16 from both sides of the inequality.

$x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}$

Hope this helps!

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Answer 2

$\text {Hey! To solve this problem you must...}$

$\text {Simplify the Equation:}$

$\text {Multiply (x+8) by 2.}$

$\text {x becomes 2x. 8 becomes 16}$

$2x+16>x+14 \text { will be your answer once you simplify it.}$

$\text {The Next Step is to Subtract x:}$

$\text {Q: Why Subtract x instead of adding x?}$

$\text {A: We need x to cancel out. So x-x will cancel out each other.}$

$\text {Note: In equations like these x-x is another way of saying 1-1.}$

$2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}$

$\text {The Final Step is to Subtract 16.}$

$\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}$ $\text {That's what we are working towards.}$

$x+16-16>14-16\\x>-2 \text { would be your final answer.}$

$\text {Best of Luck!}$

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