ok so i am doing inequalities and i don't quite understand how to do this problem so i just need some help
Five more than three times a number is less than twelve. Write
an inequality that BEST represents this situation?
thank you for the help!
ok so, i got ----> 5 + 3x < 12
is that right?
Yes, that's right.
oh ok, thank you!
You're welcome.
To write an inequality that represents the situation given, let's break down the problem:
"Five more than three times a number" means that you take a number, multiply it by three, and then add five to the result.
Now, we have: 3x + 5.
"Is less than twelve" means that the expression 3x + 5 should be smaller than 12.
Combining these parts, the inequality that represents the given situation is:
3x + 5 < 12.
When solving inequalities, the goal is to isolate the variable (in this case, x) on one side of the inequality sign. As a general method, you can perform the following steps:
1. Subtract 5 from both sides of the inequality:
3x + 5 - 5 < 12 - 5,
which simplifies to:
3x < 7.
2. Divide both sides of the inequality by 3 to isolate the variable:
(3x) / 3 < 7 / 3,
resulting in:
x < 7/3.
Therefore, the solution to this inequality is x < 7/3.