Question

How do you solve the inequality `1/(4a)+5/(8a)>1/2`?

Answer 1

`color(red)(a < 7/4)`

Explanation:

Note that the inequality implies that `a!=0`

Multiplying both sides by`(8a)`
#{: ("when",a >0,color(white)("xxx"),a <0), (,rarr 2+5 > 4a,,rarr 2+5 < 4a), (,rarr a < 7/4,,rarr a> 7/4), (,,,"but " a < 0), (,,,"so this solution is extraneous") :}#