Solve ∣ x ∣

Question

Solve ∣ x ∣ < 3 | x | < 3 ∣ x ∣ < 3 , if possible. Write the answer in set notation.A) { x ∣ x < 3 or x < − 3 } \{ x \mid x < 3 ext { or } x < - 3 \} { x ∣ x < 3 or x < − 3 } B) 3 \}> { x ∣ − 3 < x or x > 3 } \{ x \mid - 3 < x ext { or } x > 3 \} { x ∣ − 3 < x or x > 3 } C) { x ∣ − 3 < x < 3 } \{ x \mid - 3 < x < 3 \} { x ∣ − 3 < x < 3 } D) { x ∣ x < 3 } \{ x \mid x < 3 \} { x ∣ x < 3 } E) no solution

shahrukh omari · Accepted Answer

Final Answer : C, Explanation :   The correct solution is   { x ∣ − 3 < x < 3 } \{ x \mid - 3  <  x  <  3 \} { x ∣ − 3 < x < 3 }   because the absolute value   ∣ x ∣ < 3 | x |  <  3 ∣ x ∣ < 3   means x is less than 3 and greater than -3.

Solve $∣ x ∣ < 3$ , if possible. Write the answer in set notation.

A) $x<−3}\{ x \mid x < 3 \text { or } x < - 3 \}$
B) $x>3}\{ x \mid - 3 < x \text { or } x > 3 \}$
C) ${x∣−3<x<3}\{ x \mid - 3 < x < 3 \}$
D) ${x∣x<3}\{ x \mid x < 3 \}$
E) no solution

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