Part a: explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19. (5 points)

part b: what value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? show your work.

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.