Questions: For the inequality shown, give an example of a, b, c where the inequality is true or false

Transcript text: For the inequality shown, give an example of $a, b, c$ where the inequality is true or false

Solution

Solution Steps

To determine whether the inequality is true or false, we need to choose specific values for $a$, $b$, and $c$ and then evaluate the inequality with those values. We can then check if the inequality holds.

Step 1: Choose Values for $a$, $b$, and $c$

We choose the values $a = 2$, $b = 3$, and $c = 1$.

Step 2: Evaluate the Inequality

Substitute the chosen values into the inequality $a + b > c$: \[ 2 + 3 > 1 \]

Step 3: Simplify the Expression

Simplify the left-hand side of the inequality: \[ 5 > 1 \]

Step 4: Determine the Truth Value

Since $5 > 1$ is true, the inequality holds for the chosen values of $a$, $b$, and $c$.

Final Answer

$\boxed{a = 2, b = 3, c = 1}$

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