5. your brother has $2,000 saved for a vacation. his airplane ticket is $637. write and solve an inequality to find out how much he can spend for everything else.

2000>= 637+ x

1363>= x

He can spend no more than $1363 on everything else

Step-by-step explanation:

If he has 2000 dollars to spend in total, that will go on one side of the inequality.  Everything he spends goes on the other.  2000 is the maximum he can spend.  He is going to sped 637 on an airline ticket plus x on other expenses.

2000>= 637+ x

Subtract 637 from each side

2000-637 >= 637-637 +x

1363>= x

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

y > 1/3x

y < = -x + 4

hope this : )