what is the solution set for this inequality? x/4+x/5 =9
Tell me if I'm right? x is less than or equal to 20? thats what i got
Okay, so here's what you do:
\(\frac{x}{4} + \frac{x}{5} \le \frac{9}{1}\)
ok
Multiply 9/1 by 5/5 to get: \(\frac{x}{4} + \frac{x}{5} \le \frac{9}{1} \dot\ \frac{5}{5}\)
Simplify that, then subtract x/5 from both sides
Is it x/4=5
<**
No, you have to multiply the right side
You know how to multiply fractions right?
i multiplied it and got 5
You multiplied \(\frac{9}{1} \dot\ \frac{5}{5}\) and got 5?
no 9
The point is to multiply and get 45/5
you need two fractions with the same denominator in order for this to work
When you subtract x/5 from both sides you should get: \(\frac{x}{4} = \frac{45}{5} - \frac{x}{5}\)
is my answer right?
that was my answer. x is less than or equal to 20
is that it?
@Hero
yes
I was trying to show you how to do it without needed to find an lcd. All you have to do is get two fractions with the same denominator then combine them together
ok!
Trust me, there will be more complicated fractional equations and inequalities you will run into, and knowing an alternative method will help
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