Respuesta :
[tex]\text {Hey! To solve this problem you must...}[/tex]
[tex]\text {Simplify the Equation:}[/tex]
[tex]\text {Multiply (x+8) by 2.}[/tex]
[tex]\text {x becomes 2x. 8 becomes 16}[/tex]
[tex]2x+16>x+14 \text { will be your answer once you simplify it.}[/tex]
[tex]\text {The Next Step is to Subtract x:}[/tex]
[tex]\text {Q: Why Subtract x instead of adding x?}[/tex]
[tex]\text {A: We need x to cancel out. So x-x will cancel out each other.}[/tex]
[tex]\text {Note: In equations like these x-x is another way of saying 1-1.}[/tex]
[tex]2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}[/tex]
[tex]\text {The Final Step is to Subtract 16.}[/tex]
[tex]\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}[/tex] [tex]\text {That's what we are working towards.}[/tex]
[tex]x+16-16>14-16\\x>-2 \text { would be your final answer.}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
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Hey there!
ANSWER: [tex]x>-2[/tex]
EXPLANATION:
[tex]2(x+8)>18+x-4[/tex]
In our first step, we will need to simplify the inequality.
[tex]2x+16>x+14[/tex]
Now we have to subtract x from both sides of the inequality.
[tex]2x+16-x>x+14-x=x+16>14\\x+16>14[/tex]
In our last step, we will need to subtract 16 from both sides of the inequality.
[tex]x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}[/tex]
Hope this helps!
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