Question

Write the inequality and graph to show that temperature at which the bacteria survived. “Bacteria in $1969$ , Apollo $12$ astronauts found a small colony of streptococcus bacteria that had apparently travelled unprotected to the moon on the surveyor $3$ spacecraft’s TV camera about three year earlier. The bacteria survived at temperatures as low as $-280°F$”.

Short answer

The temperature at which the bacteria survived is $t\ge -280°F$.

Step-by-step solution

Step -1 - Apply the concept of Linear inequalities

In this type of question, Simply use the concept of understanding the question very carefully and then taking a variableand with accurate symbol >,< make a suitable inequality.

Step -2 – Finding the inequality by explaining the statement

Since, The bacteria survived at temperatures as low as $-280°F$.

From the above statement it is clearly seen that the bacteria can only survived as low as $-280°F$or equal to $-280°F$.

Step- 3 – Make the expression of the inequality

Now, assume that t is the temperature where the bacteria survived.

Hence, the inequality of the statement is $t\ge -280°F$.

Graphical Interpretation

Following is the graph of the expression $t\ge -280°F$ to get the proper graphical representation to know the points.

Here, the value of t is greater than or equal to $-280°F$.