Question
Solve the inequality for
Simplify your answer as much as possible.
Ask by Boone Griffiths. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To solve the inequality:
we want to find all values of
that make this statement true. Here’s a step-by-step solution:
- Add 7 to both sides to isolate the term with
on one side:
- Divide both sides by 6 to solve for
:
- Rewrite the inequality to present it in a more conventional form:
Solution: All real numbers
such that
is less than 5.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To solve the inequality
, we first isolate
.
First, add
to both sides:
Now, divide both sides by
(note that since we’re dividing by a positive number, the inequality direction remains unchanged):
This can also be written as:
So the solution to the inequality is: