Question

Help I don't know what I'm doing

Answer 1

`|x - 950| \le 250`

Explanation:

The minimum temperature is 700 deg C, so x, the temperature must be greater than or equal to 700.

`x \ge 700`

which can also be written as

`700 \le x`

The maximum temperature is 1200 deg C, so x, the temperature must be less than or equal to 1200.

`x \le 1200`

Put together the last two inequalities in a compound inequality to get

`700 \le x \le 1200`

Now we need to change it into an absolute value inequality.

The average of the two temperatures is (700 + 900)/2 = 950. The difference between the two temperatures is 1200 - 700 = 500. Half of the difference is 250. The temperature, x, will vary from 250 less than 950 to 250 more than 250.

The absolute value equation is:

`|x - 950| \le 250`