Home ยป Find the range of values of x for which(frac{x+2}{4}-frac{x+1}{3}>frac{1}{2})

Find the range of values of x for which(frac{x+2}{4}-frac{x+1}{3}>frac{1}{2})

Find the range of values of x for which(frac{x+2}{4}-frac{x+1}{3}>frac{1}{2})
  • A.
    x > 4
  • B.
    x > -4
  • C.
    x
  • D.
    x
Correct Answer: Option D
Explanation

(frac{x+2}{4}-frac{x+1}{3}>frac{1}{2}\
frac{3(x+2)-4(x+1)>6}{12}; 3x + 6 โ€“ 4x โ€“ 4 > 6
-x +2>6; -x > 4; x