Question

The inequality 9/5C + 32 <-40 can be used to find Celsius temperatures that are less than -40 Fahrenheit. What is the solution of the inequality

Answer 1

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:

$\frac{9}{5}C + 32 < -40$

So we have to solve the above inequality for C

$\rightarrow \frac{9}{5}C + 32 < -40$

Add -32 on both sides

$\rightarrow \frac{9}{5}C + 32 -32 < -40 - 32\\\\\rightarrow \frac{9}{5}C < -72$

Multiply both the sides by $\frac{5}{9}$

$\rightarrow\frac{9}{5}C \times \frac{5}{9} < -72 \times \frac{5}{9}\\\\\rightarrow C < -8 \times 5\\\\\rightarrow C < -40$

Thus the solution of inequality is C < -40