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:

`(9)/(5)C + 32 < -40`

So we have to solve the above inequality for C

`\rightarrow (9)/(5)C + 32 < -40`

Add -32 on both sides

`\rightarrow (9)/(5)C + 32 -32 < -40 - 32\\\\\rightarrow (9)/(5)C < -72`

Multiply both the sides by
`(5)/(9)`

`\rightarrow(9)/(5)C * (5)/(9) < -72 * (5)/(9)\\\\\rightarrow C < -8 * 5\\\\\rightarrow C < -40`

Thus the solution of inequality is C < -40