Solve.
-$$\frac { 5 } { 3 } ( 5 x - 3 ) 35$$
A) $\left( \infty , \frac { 24 } { 5 } \right)$
B) $\left( \infty , \frac { 18 } { 5 } \right)$
C) $\left( \frac { 18 } { 5 } , \infty \right)$
D) $\left( \frac { 24 } { 5 } , \infty \right)$

Question

Solve.
-$$\frac { 5 } { 3 } ( 5 x - 3 ) > 35$$
A) $\left( \infty , \frac { 24 } { 5 } \right)$
B) $\left( \infty , \frac { 18 } { 5 } \right)$
C) $\left( \frac { 18 } { 5 } , \infty \right)$
D) $\left( \frac { 24 } { 5 } , \infty \right)$

Quizplus · Accepted Answer

First, distribute $\frac{5}{3}$ across $(5x - 3)$ to get $\frac{5}{3} \cdot 5x - \frac{5}{3} \cdot 3 > 35$, which simplifies to $\frac{25x}{3} - 5 > 35$. Adding 5 to both sides gives $\frac{25x}{3} > 40$. Multiplying both sides by $\frac{3}{25}$ gives $x > \frac{120}{25}$, which simplifies to $x > \frac{24}{5}$. Therefore, the solution is $x > \frac{24}{5}$, which is represented by the interval $\left( \frac{24}{5}, \infty \right)$.

Solve - 53(5x−3)>35\frac { 5 } { 3 } ( 5 x - 3 ) > 3535​(5x−3)>35

Solve
- $\frac { 5 } { 3 } ( 5 x - 3 ) > 35$