Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement.
-$\left( - \infty , \frac { - 71 } { 11 } \right)$
A) $\frac { x + 4 } { 22 } - \frac { x + 9 } { 9 } \geq \frac { 7 } { 18 }$
B) $\frac { x - 5 } { 20 } - \frac { x - 2 } { 25 } \leq \frac { 1 } { 100 }$
C) $\frac { 6 x - 5 } { 10 } - \frac { x - 1 } { 20 }

Question

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement.
-$\left( - \infty , \frac { - 71 } { 11 } \right)$ 
A) $\frac { x + 4 } { 22 } - \frac { x + 9 } { 9 } \geq \frac { 7 } { 18 }$ 
B) $\frac { x - 5 } { 20 } - \frac { x - 2 } { 25 } \leq \frac { 1 } { 100 }$ 
C) $\frac { 6 x - 5 } { 10 } - \frac { x - 1 } { 20 } < - 4$

Quizplus · Accepted Answer

For option C, combining the fractions and solving the inequality $\frac{6x-5}{10} - \frac{x-1}{20} < -4$ leads to a solution where $x < \frac{-71}{11}$, which matches the given interval notation.

Solve Each of the Inequalities and Express the Solution Sets (−∞,−7111)\left( - \infty , \frac { - 71 } { 11 } \right)(−∞,11−71​)

Solve Each of the Inequalities and Express the Solution Sets $\left( - \infty , \frac { - 71 } { 11 } \right)$