the given inequalities are
2x - 18 ≥ 122 .....................(1)
5x + 15< 250 ....................(2)
now we solve equation (1),
2x - 18 ≥ 122
2x ≥ 122 + 18
2x ≥ 140
x ≥ 140/2
x ≥ 70
now we solve equation (2)
5x + 15< 250
5x < 250 - 15
x < 235/5
x < 47
so the value of x less than 47 and more than equal to 70.