Question

How do you solve `1> - 1+ \frac { n } { 2}`?

Answer 1

`n < 4`

Explanation:

Remember:

Things you can do to both sides of an inequality without changing the direction of the inequality:
[1]`color(white)("XXX")`Add or subtract the same amount to both sides;
[2]`color(white)("XXX")`Multiply or divide both sides by any amoun greater than zero.

Inverting inequalities:
[3]`color(white)("XXX")`If `a < b` then `b > a`, and visa versa.

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Given
`color(white)("XXX")1 > -1 + n/2`

Adding `1` to both sides
`color(white)("XXX")2 > n/2`

Multiplying both sides by `2`
`color(white)("XXX")4 > n`

Inverting:
`color(white)("XXX")n < 4`