Question

sakura’s house is at an elevation between 113 m and 120 m above sea level. her friend ted lives about 15 m below her
part a
choose the compound inequality that describes the elevation x of ted’s house
a. ( 113 leq 15 - x leq 120 )
b. ( 113 leq x + 15 leq 120 )
c. ( 113 leq x leq 120 )
d. ( 113 leq x - 15 leq 120 )
part b

Explanation:

Step1: Understand the Relationship

Sakura's elevation (let's call it \( S \)) is between 113 m and 120 m, so \( 113 \leq S \leq 120 \). Ted's elevation is \( x \), and he lives 15 m below Sakura, so \( S = x + 15 \) (since Ted's elevation plus 15 m equals Sakura's).

Step2: Substitute \( S \)

Substitute \( S = x + 15 \) into the inequality for Sakura's elevation: \( 113 \leq x + 15 \leq 120 \). This matches option B.

Answer:

B. \( 113 \leq x + 15 \leq 120 \)