Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)
A
x > \(\frac{7}{22}\)
B
x < \(\frac{7}{22}\)
C
x > \(\frac{-7}{27}\)
D
x < \(\frac{-7}{27}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)
5(5 - 3x) < 6(3 - 7x)
25 - 15x < 18 - 42x
- 15x + 42x < 18 - 25
\(\frac{27x}{27}\) < \(\frac{-7}{27}\)
x < \(\frac{-7}{27}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58296)