Question

n-5\len−5≤\,\,5n-15n−1

Answer 1

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:

$\frac{4n}{4}\ge-\frac{4}{4}$

Then

$n\ge-1$