For each value of v, determine whether it is a solution to v + 29 > 37.

Question image

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

  1. Substituting each value into the inequality

We need to substitute each given value of $v$ into the inequality $v + 29 > 37$.

  1. Calculating for $v = 9$

Substituting $v = 9$:

$$ 9 + 29 > 37 $$

Calculating:

$$ 38 > 37 \quad \text{(True)} $$

So, it is a solution.

  1. Calculating for $v = 4$

Substituting $v = 4$:

$$ 4 + 29 > 37 $$

Calculating:

$$ 33 > 37 \quad \text{(False)} $$

So, it is not a solution.

  1. Calculating for $v = 12$

Substituting $v = 12$:

$$ 12 + 29 > 37 $$

Calculating:

$$ 41 > 37 \quad \text{(True)} $$

So, it is a solution.

  1. 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.
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