Pregunta
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All real numbers less than –3 satisfy the inequality
.
Solución
To solve the inequality:
Step 1: Subtract 5 from both sides
Solution:
All real numbers
that are less than
satisfy the inequality.
In interval notation, the solution is:
Graphical Representation:
On a number line, this would be represented by an open circle at
and shading to the left, indicating all numbers less than
.
Final Answer:
All real numbers less than –3 satisfy the inequality. In other words, .
All real numbers less than –3 satisfy the inequality. In other words,
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Como
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Extra Insights
To solve the inequality
, you need to isolate
. Start by subtracting 5 from both sides, giving you
or
. This tells you that any number less than -3 will satisfy the inequality.
In a real-world context, imagine you’re budgeting. If you know you can only spend less than $2 but accidentally included $5 in your spending, you’d need to track your expenses carefully to ensure you don’t go over that limit, meaning you must keep your actual spending at a maximum of $-3 (think of it as needing to be in the negative to avoid overspending)!
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