Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?

a) −5x − 7 < −22 and −5x − 7 ≥ −3
b) −5x − 7 > −22 and −5x − 7 ≥ −3
c) −5x > −22 and −7 ≥ −3
d) −5x − 7 < −22 and −5x − 7 ≤ −3

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.

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step-by-step explanation: