Solve the inequality. $$| 7 x - 2 |

Question

Solve the inequality. $$| 7 x - 2 | < 4$$
A) $\left[ - \frac { 2 } { 7 } , \frac { 6 } { 7 } \right]$
B) $\left( - \frac { 2 } { 7 } , \frac { 6 } { 7 } \right)$
C) $\left( - \infty , - \frac { 2 } { 7 } \right)$
D) $\left( - \infty , - \frac { 2 } { 7 } \right) \cup \left( \frac { 6 } { 7 } , \infty \right)$
E) $\varnothing$

Quizplus · Accepted Answer

To solve the inequality $| 7x - 2 | < 4$, we consider two cases: $7x - 2 < 4$ and $7x - 2 > -4$. Solving these gives $x < \frac{6}{7}$ and $x > -\frac{2}{7}$, respectively. Combining these inequalities gives the solution $\left( - \frac { 2 } { 7 } , \frac { 6 } { 7 } \right)$.

Solve the Inequality ∣7x−2∣<4| 7 x - 2 | < 4∣7x−2∣<4

Solve the Inequality $| 7 x - 2 | < 4$