The solution of inequality is C < -40
Solution:
Given that the inequality that is used to find the celsius temperature that are less than -40 fahrenheit
To find: solution of inequality
Given inequality is:
[tex]\frac{9}{5}C + 32 < -40[/tex]
So we have to solve the above inequality for C
[tex]\rightarrow \frac{9}{5}C + 32 < -40[/tex]
Add -32 on both sides
[tex]\rightarrow \frac{9}{5}C + 32 -32 < -40 - 32\\\\\rightarrow \frac{9}{5}C < -72[/tex]
Multiply both the sides by [tex]\frac{5}{9}[/tex]
[tex]\rightarrow\frac{9}{5}C \times \frac{5}{9} < -72 \times \frac{5}{9}\\\\\rightarrow C < -8 \times 5\\\\\rightarrow C < -40[/tex]
Thus the solution of inequality is C < -40
