Question
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Ask by Rodriquez Campbell. in the United States
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

  1. Start with the inequality:
  2. Multiply both sides by . Since is negative, the inequality sign reverses direction:
  3. Compute the multiplication:
  4. This inequality can be rewritten as:

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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?

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