Mathematics

Find the range of values of x which satisfy the inequalities 4x – 7 (leq)…

Find the range of values of x which satisfy the inequalities 4x – 7 (leq) 3x and 3x – 4 (leq) 4x
  • A.
    -4 (leq) x (leq) 7
  • B.
    -7 (leq) x (leq) 4
  • C.
    x (geq) -7
  • D.
    -7 (leq) x (leq) 6
Correct Answer: Option A
Explanation

4X – 7 (leq) 3X and 3X – 4 (leq) 4X
4X – 3X (leq) 7 and 3X – 4X (leq) 4
X (leq) 7 and -X (leq) 4 = X (geq) -4
Range -4 (leq) x (leq) 7