Question

question 12
for each value of w, determine whether it is a solution to ( w - 36 leq 11 ).

w	is it a solution?
43	( \bigcirc ) yes ( \bigcirc ) no
50	( \bigcirc ) yes ( \bigcirc ) no
47	( \bigcirc ) yes ( \bigcirc ) no

Explanation:

Step1: Solve the inequality for \( w \)

To solve \( w - 36 \leq 11 \), add 36 to both sides of the inequality:
\( w - 36 + 36 \leq 11 + 36 \)
Simplifying, we get \( w \leq 47 \).

Step2: Check each value of \( w \)

• For \( w = 46 \): \( 46 \leq 47 \), so it is a solution (Yes).
• For \( w = 43 \): \( 43 \leq 47 \), so it is a solution (Yes).
• For \( w = 50 \): \( 50 > 47 \), so it is not a solution (No).
• For \( w = 47 \): \( 47 \leq 47 \), so it is a solution (Yes).

Answer:

• \( w = 46 \): Yes
• \( w = 43 \): Yes
• \( w = 50 \): No
• \( w = 47 \): Yes