Question
(b)
No solution
All real numbers are solutions
No solution
All real numbers are solutions
Ask by Ortiz Franklin. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To solve the inequality:
Step 1: Expand the left side
So the inequality becomes:
Step 2: Move all terms involving
to one side and constants to the other
Subtract
from both sides:
Subtract 35 from both sides:
Step 3: Solve for
Divide both sides by 3:
Conclusion:
The solution to the inequality is:
So, the correct completion is:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To solve the inequality
, start by distributing the
:
. Next, subtract
from both sides to get
. Now, subtract
from both sides:
. Finally, divide by
, resulting in
. So,
is your final solution!
In the world of inequalities, this is a great example of how to simplify and manipulate expressions. Learning to solve inequalities not only helps in math but also sharpens your reasoning skills! You’ll find this valuable in various fields like economics, physics, and even in making daily decisions where ‘greater than’ or ‘less than’ scenarios come into play.