List 3 values that would make this inequality true. 8n+4<28
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the inequality:
8n + 4 <28
List 3 values that would make the inequality true.
Solution:
In order to list the values, we must first determine the value of n. This can be done by transposing 4 first on the other side of the equation. Note that when transposing a number, the sign changes.
8n + 4 <28
8n < 28 - 4
8n < 24
Divide both sides by 8 in order to get the inequality for n.
n < 3
Hence, the three values needed must be less than 3.
Answers: 2, 1, 0
Check
= 8(1) + 4 <28
= 12 < 28
=8(2) + 4 <28
= 20 < 28
= 8(0) + 4 < 28
= 4 < 28
Final answer:
2, 1, 0