Solve $| 11 - 7 x |

Name: Solve $| 11 - 7 x | < - 10$ , if possible. Write the answer in set notation. A) $\left\{ x \mid - \frac { 11 } { 7 } \leq x \leq \frac { 11 } { 7 } \right\}$ B) $\left\{ x \mid - \frac { 1 } { 7 } < x < \frac { 1 } { 7 } \right\}$ C) $\{ x \mid - 3 < x < 4 \}$ D) $\{ x \mid - 1 < x < 1 \}$ E)no solution
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Question

Solve $| 11 - 7 x | < - 10$ , if possible. Write the answer in set notation.
A) $\left\{ x \mid - \frac { 11 } { 7 } \leq x \leq \frac { 11 } { 7 } \right\}$
B) $\left\{ x \mid - \frac { 1 } { 7 } < x < \frac { 1 } { 7 } \right\}$
C) $\{ x \mid - 3 < x < 4 \}$
D) $\{ x \mid - 1 < x < 1 \}$
E)no solution

Quizplus · Accepted Answer

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.

Solve ∣11−7x∣<−10| 11 - 7 x | < - 10∣11−7x∣<−10 , If Possible

Solve $| 11 - 7 x | < - 10$ , If Possible