SOLUTION: Please help me to figure out if there is no solution one solution or infinite solutions to the following problems. 3x-1<24 and x-3<8

Question 875257: Please help me to figure out if there is no solution one solution or infinite solutions to the following problems. 3x-1<24 and x-3<8
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
That kind of problem always has infinite solutions.
and are linear expressions in .
As increases the value of those expressions increases.
As decreases the value of those expressions decreases.

If you find that for some , say ,
the value of is less than ,
then any other smaller x will also be a solution.
so is a solution,
but so is any number smaller than ,
such as , , , , , .
There are infinite solutions, so we cannot list them all.
We have to give a formula (an inequality) that shows all the solutions
--> --> --> -->
Since , that can also be written as

--> -->
Some of the infinite solutions are , , ,
and many other numbers that are less than 11.
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