5n-34>7(n-2)
You might start by using the distributive property on the right hand side to get 7n-14, then subtact the 5n from both sides and add 14 to both sides.
To solve the inequality 5n-34 > 7(n-2), we can simplify the expression step by step.
First, we use the distributive property on the right hand side of the equation:
7(n-2) = 7n - 14
Now the inequality becomes:
5n - 34 > 7n - 14
Next, we want to isolate the variable 'n' on one side of the inequality. To do this, we can start by subtracting 5n from both sides:
5n - 34 - 5n > 7n - 14 - 5n
-34 > 2n - 14
Then, add 14 to both sides to further isolate the variable:
-34 + 14 > 2n - 14 + 14
-20 > 2n
Now, divide both sides by 2 to solve for 'n':
-20/2 > 2n/2
-10 > n
So, the solution to the inequality 5n-34 > 7(n-2) is n < -10.