Solve the inequality 2x + 3 > 5x + 8
A
x > 1\(\frac{2}{3}\)
B
x > -1\(\frac{2}{3}\)
C
x < -1\(\frac{2}{3}\)
D
x < 1\(\frac{2}{3}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Given: 2x + 3 > 5x + 8
2x + 3 - 5x - 8 > 0
⇒ -3x - 5 > 0 ⇒ -3x > 5
⇒ x < \(\frac{-5}{3}\) = -1 \(\frac{2}{3}\) (inequality reverses on dividing by)
x < -1\(\frac{2}{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #74093)