To solve the inequality 1/4 > n + 4, we can start by isolating the variable n.
1/4 > n + 4
We can start by subtracting 4 from both sides:
1/4 - 4 > n + 4 - 4
-15/4 > n
Next, we can simplify the inequality by finding a common denominator:
-15/4 = -3.75
So, the simplified inequality is:
-3.75 > n
To graph this inequality, we will graph the line n = -3.75 as a dashed line (since the inequality does not include "equal to"). Then, since we want n to be less than -3.75, we shade the region to the left of the line.
Checking the solutions, we can test a value, such as n = -4, to see if it satisfies the inequality:
1/4 > -4 + 4
1/4 > 0
Since 1/4 is indeed greater than 0, n = -4 is a valid solution.
Therefore, the solution to the inequality is n < -3.75.
Solve the inequality. Graph and check your solutions.
1/4>n+4
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