Question
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Answer
Solution
Step 1:
Start with the inequality
Start with the inequality
Step 2:
Subtract from both sides to group the
terms:
Subtract
which simplifies to
Step 3:
Subtract 29 from both sides to isolate the term with :
Subtract 29 from both sides to isolate the term with
yielding
Step 4:
Divide both sides by 5 (since 5 is positive, the inequality direction remains the same):
Divide both sides by 5 (since 5 is positive, the inequality direction remains the same):
Thus,
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The Deep Dive
To solve the inequality
, we first want to isolate
on one side. Subtract
from both sides:
This simplifies to:
Next, subtract 29 from both sides:
Finally, divide both sides by 5:
So, the solution to the inequality is
.
Did you know that solving inequalities is like playing a game of balance? Just as in a seesaw, what you do to one side must be done to the other! Once you get comfortable moving numbers around, you’ll feel like a math magician!
If you’re ever unsure about your final answer, plug in a number greater than -4 (like 0 or 5) back into the original inequality. It should hold true, confirming your solution. Remember, practicing with different numbers will boost your confidence!