Question

Translate each phrase into an algebraic inequality.

1. An amusement park ride can hold 8 passengers.
2. An auditorium can seat 250 people or fewer.
3. The maximum weight an elevator can hold is 2,400 pounds.

Answer 1

I'd like to preface this by saying that since I'm on mobile I can't type out the less/greater than or equal to signs, so I'll just be using words.

'x' Will stand for the ride/auditorium/max weight

1. x is less than or equal to 8

2. x is less than or equal to 250

3. x is less than or equal to 2,400

Answer 2

1. x≤8

2. x≤250

3.w≤2,400

Explanation:

1. Let x be the number of passengers on a park ride .

since it can hold 8 passengers it means it cannot have more than 8 passengers that is we shall use ≤ sign for writing algebraic inequality.

and we can write like x ≤ 8 .

2. An Auditorium can seat 250 people or fewer .

let x be the number of people to sit in auditorium

250 or fewer means ≤

therefore algebraically we can write x≤250

3. let w be the weight an elevator can hold it means it can have maximum of 2,400 pounds. that is Weight needs to be less than or equal to 2,400

We can write it as : w ≤2,400