Question

An insurance data scientist is researching a certain stretch of a rural highway where drivers are never pulled over. The mile markers in the solution of the following inequality, where x represents the mile marker along the highway.
`2x - 18 \geqslant 122 \: or \: 5x + 15 \ \textless \ 250`

Answer 1

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.