For each value of v, determine whether it is a solution to v + 29 > 37.
Understand the Problem
The question is asking to evaluate whether each given value of v satisfies the inequality v + 29 > 37. This involves substituting each value of v into the inequality and determining if the result is true or false.
Answer
- $v = 9$: Yes - $v = 4$: No - $v = 12$: Yes - $v = 8$: No
Answer for screen readers
The results for each value of $v$ are as follows:
- For $v = 9$: Yes
- For $v = 4$: No
- For $v = 12$: Yes
- For $v = 8$: No
Steps to Solve
- Substituting each value into the inequality
We need to substitute each given value of $v$ into the inequality $v + 29 > 37$.
- Calculating for $v = 9$
Substituting $v = 9$:
$$ 9 + 29 > 37 $$
Calculating:
$$ 38 > 37 \quad \text{(True)} $$
So, it is a solution.
- Calculating for $v = 4$
Substituting $v = 4$:
$$ 4 + 29 > 37 $$
Calculating:
$$ 33 > 37 \quad \text{(False)} $$
So, it is not a solution.
- Calculating for $v = 12$
Substituting $v = 12$:
$$ 12 + 29 > 37 $$
Calculating:
$$ 41 > 37 \quad \text{(True)} $$
So, it is a solution.
- Calculating for $v = 8$
Substituting $v = 8$:
$$ 8 + 29 > 37 $$
Calculating:
$$ 37 > 37 \quad \text{(False)} $$
So, it is not a solution.
The results for each value of $v$ are as follows:
- For $v = 9$: Yes
- For $v = 4$: No
- For $v = 12$: Yes
- For $v = 8$: No
More Information
The given inequality $v + 29 > 37$ reveals the values of $v$ satisfying the condition. Each calculation shows whether the sum exceeds 37, demonstrating the method of solving linear inequalities.
Tips
- Miscalculating the sum, especially with smaller numbers.
- Confusing the inequality sign (greater than versus lesser than).
- Forgetting to compare the left-hand side with 37 after computing the sum.
