I'm having trouble with a question from one of my math assignments and it's driving me crazy.
Its: -2/5x - 9 < 9/10 (two-fifths and nine-tenths)
I tried doing it a few times, it might be easier than it looks and I just don't understand.
If someone can help, that would be great.
I don't expect an answer to be thrown at me, I just need help figuring out how to solve it.
(this is not a multi choice question, so there is no answers to provide)
Nevermind, I think i found it out.
Also, to any student who stumbles onto this, just because I found the answer I needed does not mean i'm going to say it here so you do not need to do the work for yourself. Good day <3
No problem! I can help you with that math question. The inequality you have is:
-2/5x - 9 < 9/10
To solve this inequality, we'll need to isolate x. Here are the steps you can follow:
Step 1: Move the constant term to the other side of the inequality.
-2/5x < 9/10 + 9
Simplify the right-hand side:
-2/5x < 9/10 + 90/10
-2/5x < 99/10
Step 2: Multiply both sides of the inequality by the reciprocal of the coefficient of x to eliminate the fraction.
To do this, we can multiply both sides by -5/2. Remember, when you multiply or divide both sides of an inequality by a negative number, the inequality sign flips.
[(-2/5x) * (-5/2)] > [(99/10) * (-5/2)]
Simplifying:
x > -495/20
x > -24.75
So, the solution to the inequality is x > -24.75.
Remember when solving inequalities, if you multiply or divide both sides by a negative number, you need to flip the inequality sign.
I hope this helps! If you have any further questions, feel free to ask.