I have a few problems i dont understand Please help they are the following,
x+6/-4x <= x-3/-4x-2
x+1/-3x => x-5/-3x+3
x-3/-x => x+4 / -x-1
=> means greater than or equal too
<= means less than or equal too
im decently good at math just need to refresh my memory please help with work so that i can understand and private message me when i get a response so i can check it more quickly thanks!
Okie Dokie. First hting we do is recognize that if we were to cross multiply, we would have to consider when the for what intervals of x would make the denomiators equal to 0. But let's not worry about that because it makes our job harder than it has to be. Instead, let's start by subtracting from both sides.
just to make it more visually appealing let's factor out a -1 from the right hand term
finding a common denominator we have
now you can see that the numerator must be equal to or less than 0 for the thing to be valid. So we can just multiply bot sides of the inequality by . but we have to be care ful here because we know that if we multiply both sides by a negative number we must reverse the sign of the inequality. So, we must find the values of x that would make the denominator < 0. Is that a good head start for you?
Here's a place where you can refresh:
Algebra Help - Polynomial and Rational Inequalities