Question
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Answer
Solution
-
Start with the inequality:
-
Multiply both sides by
. Since is negative, the inequality sign reverses direction: -
Compute the multiplication:
-
This inequality can be rewritten as:
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Extra Insights
To solve the inequality
, first, we can rewrite it as
by multiplying both sides by -0.5. Remember, when you multiply or divide by a negative number, you flip the inequality sign!
Now, divide both sides by -2, which changes the sign again, resulting in
. So, all values of
that are less than -3 satisfy the original inequality.
To visualize this on a number line, you’d shade everything to the left of -3, showing all the possible solutions for
. Isn’t math a fun puzzle?