Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation.
-$|7 y-3|-6-12$
A) $(-\infty, \infty)$
B) $\left(-\frac{3}{7}, \infty\right)$
C) $\left(-\frac{3}{7}, \frac{9}{7}\right)$
D) $\varnothing$

Question

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation.
-$|7 y-3|-6>-12$
A) $(-\infty, \infty)$
B) $\left(-\frac{3}{7}, \infty\right)$
C) $\left(-\frac{3}{7}, \frac{9}{7}\right)$
D) $\varnothing$

Quizplus · Accepted Answer

The inequality $|7y - 3| - 6 > -12$ simplifies to $|7y - 3| > 6$, which is always true for all real numbers y, hence the solution set is all real numbers, $(-\infty, \infty)$.

Solve the Given Equation or Inequality ∣7y−3∣−6>−12|7 y-3|-6>-12∣7y−3∣−6>−12 A) (−∞,∞)(-\infty, \infty)(−∞,∞) B) (−37,∞)\left(-\frac{3}{7}, \infty\right)(−73​,∞)

Solve the Given Equation or Inequality $|7 y-3|-6>-12$ A) $(-\infty, \infty)$ B) $\left(-\frac{3}{7}, \infty\right)$