Question

for each value of v, determine whether it is a solution to 45 < 34 + v.

v	is it a solution?
7	∘ (yes)	∘ (no)
15	∘ (yes)	∘ (no)
11	∘ (yes)	∘ (no)

Explanation:

To determine if a value of \( v \) is a solution to \( 45 < 34 + v \), we can solve the inequality for \( v \) first. Subtract 34 from both sides:
\( 45 - 34 < v \)
\( 11 < v \) or \( v > 11 \).

Now we check each value:

Step 1: Check \( v = 13 \)

Is \( 13 > 11 \)? Yes. So 13 is a solution.

Step 2: Check \( v = 7 \)

Is \( 7 > 11 \)? No. So 7 is not a solution.

Step 3: Check \( v = 15 \)

Is \( 15 > 11 \)? Yes. So 15 is a solution.

Step 4: Check \( v = 11 \)

Is \( 11 > 11 \)? No (it’s equal). So 11 is not a solution.

Answer:

• For \( v = 13 \): Yes
• For \( v = 7 \): No
• For \( v = 15 \): Yes
• For \( v = 11 \): No