Question

teacher example the temperature in atlanta, georgia was $-4^circ$ one day. this was at least 16 degrees less than the temperature in newark, new jersey on the same day. determine $a$, the possible temperature in newark, new jersey? now, we can substitute 12 for $a$ to check our solution. is the solution correct?

Explanation:

Step1: Define inequality relation

Let $a$ = Newark temperature. Atlanta's temp ($-4^\circ$) is at least 16 less than $a$, so:
$$-4 \leq a - 16$$

Step2: Solve for $a$

Add 16 to both sides:
$$-4 + 16 \leq a$$
$$12 \leq a$$

Step3: Verify $a=12$

Substitute $a=12$ into the inequality:
$$-4 \leq 12 - 16$$
$$-4 \leq -4$$
This is a true statement.

Answer:

The possible temperatures in Newark are all values greater than or equal to $12^\circ$, or $a \geq 12$. When substituting $a=12$, the solution is correct.