A certain minivan has a maximum carrying capacity of 1,200 pounds. The luggage weighs 150 pounds. Write an solve an inequality to find the maximum weight allowable for passengers.

I got x+150 >= 1200
Im not sure if it's correct

close. The maximum load is 1200 lbs, so

x + 150 <= 1200

How about?

x + 150 <= 1200

To solve this problem, we can start by setting up an inequality equation. Let's assume the maximum weight of passengers is 'x' pounds.

According to the problem, the minivan has a maximum carrying capacity of 1,200 pounds, and the luggage already weighs 150 pounds. This means the sum of the luggage weight and the weight of the passengers should not exceed the maximum carrying capacity.

The inequality equation can be written as:

150 + x ≤ 1200

To solve this inequality for 'x' (the maximum weight allowable for passengers), we can subtract 150 from both sides of the equation:

x ≤ 1200 - 150

Simplifying the equation gives us:

x ≤ 1050

Therefore, the maximum weight allowable for passengers is 1,050 pounds. Any weight greater than this could exceed the minivan's maximum carrying capacity.