Question

Suppose the temperature x miles above ground level is given by T= 74minus29x. Write and solve an inequality that describes when the temperature is below 50degreesF.

Answer 1

Given:

Suppose the temperature x miles above ground level is given by

$T=74-29x$

To find:

The inequality and solve the inequality that describes when the temperature is below 50 degrees F.

Solution:

The temperature is below 50 degrees F. It means the temperature is less than 50 degrees F.

$T$

$74-29x$

$-29x$

$-29x$

Divide both sides by -29 and change the inequality sign.

$x>\dfrac{-24}{-29}$

$x>0.8275862$

$x>0.828$

Therefore, the required inequality is $74-29x$ and the solution is $x>0.828$.