Solve: $$m - \frac { 4 } { 3 }

Question

Solve: $$m - \frac { 4 } { 3 } < \frac { 2 } { 5 }$$
A) $m < \frac { 26 } { 15 }$
B) $m < \frac { 13 } { 8 }$
C) $m < \frac { 27 } { 16 }$
D) $m > \frac { 26 } { 15 }$
E) $m \leq \frac { 26 } { 15 }$

Quizplus · Accepted Answer

To solve the inequality $m - \frac{4}{3} < \frac{2}{5}$, add $\frac{4}{3}$ to both sides to isolate $m$: $m < \frac{2}{5} + \frac{4}{3}$. Finding a common denominator (15) for the fractions gives $m < \frac{6}{15} + \frac{20}{15}$, which simplifies to $m < \frac{26}{15}$.

Solve m−43<25m - \frac { 4 } { 3 } < \frac { 2 } { 5 }m−34​<52​

Solve $m - \frac { 4 } { 3 } < \frac { 2 } { 5 }$