Solve the inequality:
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Solve the inequality:
Solving an inequality equation is just like a normal equation. We start by trying to isolate the variable (X).
It is important to note that in this equation there are two variables (X and a), so we may not reach a final result.
8x+a<3x-4
We move the sections
8x-3x<-4-a
We reduce the terms
5x<-4-a
We divide by 5
x< -a/5 -4/5
And this is the solution!
Solve the inequality:
\( 5-3x>-10 \)
This is normal! Since a is a parameter (unknown constant), your final answer will express x in terms of a. The solution is complete.
Pick any value for a, then choose an x value that satisfies your inequality. Substitute both into the original inequality to verify both sides work out correctly.
The fraction comes from dividing -4 by 5. This is the constant part of your solution, separate from the part that depends on parameter a.
The original problem uses strict inequality (<) meaning "less than" not "less than or equal to". When you solve the inequality, you must preserve this - so the answer keeps the < sign.
Yes! If you're told a = 2 for example, substitute it in: . The parameter solution works for any value of a.
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