Answer: [tex]t<444.44[/tex]
Step-by-step explanation:
Given
Texting bill is given by [tex]c(t)=0.09t[/tex]
Spending must be less than [tex]\$40\ \text{per month}[/tex]
So, text billing must be less than $40
[tex]\therefore 0.09t<40\\\\\Rightarrow t<\dfrac{40}{0.09}\\\\\Rightarrow t<444.44[/tex]