Solve using the multiplication principle.
- $- 7 x < \frac { 1 } { 6 }$

Question

Solve using the multiplication principle. -$$- 7 x < \frac { 1 } { 6 }$$ A) $\left\{ x \mid x < - \frac { 1 } { 42 } \right\}$ B) $\left\{ x \mid x > - \frac { 1 } { 42 } \right\}$ C) $\left\{ x \mid x > \frac { 1 } { 42 } \right\}$ D) $\left\{ x \mid x < \frac { 1 } { 42 } \right\}$

Quizplus · Accepted Answer

To solve the inequality $-7x < \frac{1}{6}$, we divide both sides by -7. Remember, dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign. So, $-7x < \frac{1}{6}$ becomes $x > -\frac{1}{42}$, which matches choice B.

Solve Using the Multiplication Principle −7x<16- 7 x < \frac { 1 } { 6 }−7x<61​

Solve Using the Multiplication Principle $- 7 x < \frac { 1 } { 6 }$