Question

Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. He typically charges clients either less than $250 or more than $700. Which inequality represents x, the typical number of hours worked?

75x + 100 < 250 or 75x + 100 > 700
100x + 75 < 250 or 100x + 75 > 700
250 < 75x + 100 < 700
250 < 100x + 75 < 700

Answer 1

Total charge = 75x + 100. "Either less than $250 or more than $700" gives

75x + 100 < 250 or 75x + 100 > 700.

Solving: 75x < 150 → x < 2, or 75x > 600 → x > 8.