Mathematics

Solve the inequalities for which (frac{x+4}{3}-frac{x-3}{2}

Solve the inequalities for which (frac{x+4}{3}-frac{x-3}{2} < 4)

  • A.
    x
  • B.
    x > -7
  • C.
    x
  • D.
    x > 7
Correct Answer: Option B
Explanation

(frac{x+4}{3}-frac{x-3}{2} < 4\
frac{(2(x+4))-(3(x-3))}{6}<4)
2(x+4) – 3(x-3) < 4 x 6
2x + 8 – 3x+9 < 24
-x + 17 < 24
-x < 24 – 17
-x < 7
x > -7