A construction crew is lengthening a road. The crew is adding 6 miles to the road each week. The road originally measured 58 miles long. The crew's goal is given by 6x+58>=142, where x is the number of weeks the crew works.
To find out how many weeks it will take for the crew to reach their goal, we need to solve the inequality 6x + 58 ≥ 142.
Subtracting 58 from both sides gives 6x ≥ 84.
Then, dividing both sides by 6 gives x ≥ 14.
So it will take the crew at least 14 weeks to reach their goal.