Can you please solve this I don't understand I know the answer is b>3 but If you can break it down for me and show work? (:
3b+12>27-2b
3b + 12 > 27 - 2b
add 2b to both sides
5b + 12> 27
subtract 12 from both sides
5b > 15
divide both sides by 5
b>3
This works with the same rules that you would use with equations.
3b+12>27-2b
3b + 2b > 27 - 12
5b > 15
b > 3
Thank you to the both of you. I understand now I was getting mixed up. :)
Of course! Let's solve the inequality step by step.
Starting with the given inequality:
3b + 12 > 27 - 2b
First, let's simplify the equation by combining like terms. We can combine the b terms on the left side:
3b + 2b + 12 > 27
Now, let's combine the coefficients of b:
5b + 12 > 27
Next, let's isolate the variable b by subtracting 12 from both sides of the inequality:
5b + 12 - 12 > 27 - 12
5b > 15
Finally, to solve for b, we divide both sides of the inequality by 5 (the coefficient of b):
(5b)/5 > 15/5
b > 3
Therefore, the solution to the inequality 3b + 12 > 27 - 2b is b > 3.