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N-5\len−5≤\,\,5n-15n−1

1 Answer

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We need to solve the next inequality:


n-5\leq5n-1

First, add both sides by 5


n-5+5\leq5n-1+5
n\leq5n+4

Now, subtract both sides by 5n:


n-5n\leq5n-5n+4
-4n\leq4

To find n, we need to multiply by -1 on both sides, this will invert the

inequality. Therefore, we change "≤" to "≥".


(-1)(-4n)\ge(4)(-1)
4n\ge-4

Finally, divide both sides by 4:


(4n)/(4)\ge-(4)/(4)

Then


n\ge-1

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