Solve and write interval notation for the solution set.
-$| 11 x - 7 |

Question

Solve and write interval notation for the solution set.
-$| 11 x - 7 | < - 4$
A) $\left( - \infty , \frac { 3 } { 11 } \right) \cup ( 1 , \infty )$
B) No solution
C) $\left( \frac { 3 } { 11 } , 1 \right)$
D) $( - \infty , \infty )$

Quizplus · Accepted Answer

The absolute value of any real number is always non-negative, so the inequality $| 11x - 7 | < -4$ has no solution because the expression inside the absolute value cannot be less than a negative number.

Solve and Write Interval Notation for the Solution Set ∣11x−7∣<−4| 11 x - 7 | < - 4∣11x−7∣<−4

Solve and Write Interval Notation for the Solution Set $| 11 x - 7 | < - 4$