# How do you solve and graph #2(n-4)<=6#?

You simply need to:

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To solve and graph ( 2(n-4) \leq 6 ), first, simplify the inequality: [ 2(n-4) \leq 6 ] [ 2n - 8 \leq 6 ] Next, add 8 to both sides to isolate the variable term: [ 2n - 8 + 8 \leq 6 + 8 ] [ 2n \leq 14 ] Then, divide both sides by 2 to solve for ( n ): [ \frac{2n}{2} \leq \frac{14}{2} ] [ n \leq 7 ] The solution is ( n \leq 7 ). To graph the solution on a number line, draw a closed circle at ( 7 ) and shade to the left to represent all values less than or equal to ( 7 ).

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