possible values of n for 7n−(9n+1)>5
all the possible values of n that are solutions to 7n−(9n+1)>5.
7n−(9n+1)>5
7n - 9n - 9 > 5
-2n > 14
n < -7
To find the possible values of n for the inequality 7n - (9n + 1) > 5, we can solve it step by step.
First, let's simplify the expression within the parentheses:
7n - (9n + 1) > 5
7n - 9n - 1 > 5
Combine like terms:
-2n - 1 > 5
Next, let's isolate the variable n by getting rid of the constant term on the left side of the inequality. we can do this by adding 1 to both sides of the inequality:
-2n - 1 + 1 > 5 + 1
-2n > 6
Now, to solve for n, divide both sides of the inequality by -2. Remember that when dividing or multiplying both sides of an inequality by a negative number, you need to flip the inequality sign.
(-2n) / -2 < 6 / -2
n < -3
Therefore, the possible values of n for the inequality 7n - (9n + 1) > 5 are all values of n that are less than -3.