Exercise on Properties/Laws of Sets Simplify each of the following identities to its simplest form, using the laws of sets; (i)
1 answer:
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Answer:
1/5
Step-by-step explanation:
Well work can be defined as:
where rate=amount of work that can be done in one unit of time
let a = rate of work A does in a day
let b = rate of work B does in a day
this means that: where work=1 and it just means the entire job has been completed.
Since b can do it alone in 15 days, this means that:
If we divide by 15 here, we get the equation:
We can now use this definition to substitute it into the first equation we made.
Multiply the 10 and 1/15
subtract 2/3 from both sides
Now divide both sides by 10
Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days
Now divide both the numerator and denominator by 6