Asked by Bryan Torres on Apr 28, 2024
Verified
Solve ∣11−7x∣<−10| 11 - 7 x | < - 10∣11−7x∣<−10 , if possible. Write the answer in set notation.
A) {x∣−117≤x≤117}\left\{ x \mid - \frac { 11 } { 7 } \leq x \leq \frac { 11 } { 7 } \right\}{x∣−711≤x≤711}
B) {x∣−17<x<17}\left\{ x \mid - \frac { 1 } { 7 } < x < \frac { 1 } { 7 } \right\}{x∣−71<x<71}
C) {x∣−3<x<4}\{ x \mid - 3 < x < 4 \}{x∣−3<x<4}
D) {x∣−1<x<1}\{ x \mid - 1 < x < 1 \}{x∣−1<x<1}
E) no solution
Set Notation
A system of symbols used to represent sets and the relationships and operations between them, such as union, intersection, and complement.
Absolute Value Inequality
An inequality that involves the absolute value of a variable expression, which represents a range of solutions.
- Master the technique of resolving absolute value inequalities.
Verified Answer
JD
Justyna DrozdApr 29, 2024
Final Answer :
E
Explanation :
The absolute value of any real number is always non-negative, so an inequality stating that an absolute value is less than a negative number has no solution.
Learning Objectives
- Master the technique of resolving absolute value inequalities.