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.

1. x≤8

2. x≤250

3.w≤2,400

Step-by-step 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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x