Question

this question has two parts. first, answer part a. then, answer part b
part a
a dolphin is swimming at a depth of -50 feet and then ascends a certain number of feet to a depth above -35 feet.
the inequality
select choice
can be used to find the number of feet the dolphin ascended.
the solution of -50 + x leq -35
-50 + x geq -35
-50 + x > -35
-50 + x < -35
part a is
select choice
part b
what is the correct interpretation of the solution?

Explanation:

Part A

The dolphin starts at -50 feet and ascends \( x \) feet to a depth above -35 feet. "Above -35 feet" means the final depth \( -50 + x \) is greater than -35. So the inequality is \( -50 + x > -35 \).

Step 1: Solve the inequality \( -50 + x > -35 \)

Add 50 to both sides of the inequality.
\( -50 + x + 50 > -35 + 50 \)

Step 2: Simplify both sides

Simplifying gives \( x > 15 \). This means the dolphin ascended more than 15 feet.

Answer:

\( -50 + x > -35 \) (the second option in the Part A inequality choices)

Part B