Answer:
Step-by-step explanation:
3n+4<19
3n<19-4
3n<15
n<5
[tex]\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n<0,n<0\\and ~n+16 <0\\n<-16\\again\\10n<n+16\\9n<16\\n<\frac{16}{9} \\combining\\n<-16[/tex]
combining
(-∞,-16)U(16/9,5)
Answer:
n = 3,4,5
Step-by-step explanation:
3n + 4 < 19
3n ≤ 15
n ≤ 5
10n/n+16 > 1
10n > n²+16
-n²+10n-16
(-n+2)(n-8)
n = 2 or n = 8
2 < n < 8
So 2<n≤5 = 3,4,5
