Answer :
The possible integer values of n are:
-1, 0, 1 , 2 , and 3.
-1 to 3 are all greater than -2.
3 is the maximum since 3 is the greatest number where n is equal to it or lesser than it.
Solving the inequality: 3y - 4 > 17
3y - 4 > 17
Add 4 to both sides to move it.
3y > 17 + 4
3y > 21
Divide both sides by 3 to get the value of y.
3y/3 > 21
y > 7
The sign does not change since we did not divide or multiply by a negative.
Therefore, y is greater than 7.
Answer:
[tex]n \in \mathbb{Z}[/tex]
Inequality given:
[tex]-2 < n \leq 3[/tex]
Interval notation: [tex](-2, 3][/tex]
[tex]\{n \in \mathbb{Z}| -2<n\leq 3 \}[/tex]
Writing down the values of [tex]n[/tex]
The set (N) for possible values of [tex]n[/tex] is:
[tex]N=\{-1, 0, 1, 2, 3\}[/tex]
Now, solving the inequality [tex]3y - 4 > 17[/tex]
[tex]3y - 4 > 17\\3y-4+4>17+4\\3y>21\\y>7[/tex]
Interval notation: [tex](7, \infty)[/tex]
[tex]\{n \in \mathbb{R}| y>7 \}[/tex]