Solve the inequality:

[tex]|x + 5| < 5[/tex]

-5\\ x<0 \wedge x>-10\\ x\in(-10,0)"> ∣ x + 5∣ < 5 x + 5 < 5 ∧ x + 5 > − 5 x < 0 ∧ x > − 10 x ∈ ( − 10 , 0 )

Answered by konrad509 | 2024-06-10

To solve the inequality ∣ x + 5∣ < 5 , we break it into two parts: x + 5 < 5 gives x < 0 and -5"> x + 5 > − 5 gives -10"> x > − 10 . Combining these results, the solution set is − 10 < x < 0 .
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Answered by Anonymous | 2024-12-26