Question

Find all the integral values of x which satisfy the inequalities.
x + 8 > 4x - 6 ≥ 3(4 - x)

Answer 1

x + 8 > 4x − 6
−3x > −14
x<¹⁴/₃
4x − 6 ≥ 12 − 3x
7x ≥ 18
x ≥ ¹⁸/₇
2.57 ≤ x ≤ 4.67
∴ 3, 4