Questions: Is (d=144) a solution to the inequality below? [ 44 geq 8+fracd2 ] yes no

$Is (d=144) a solution to the inequality below? [ 44 geq 8+fracd2 ] yes no$

Transcript text: Is $d=144$ a solution to the inequality below? \[ 44 \geq 8+\frac{d}{2} \] yes no

Solution

Solution Steps

To determine if $ d = 144 $ is a solution to the inequality $ 44 \geq 8 + \frac{d}{2} $, substitute $ d = 144 $ into the inequality and check if the inequality holds true.

Step 1: Substitute $ d = 144 $ into the inequality

Substitute $ d = 144 $ into the inequality $ 44 \geq 8 + \frac{d}{2} $.

\[ 44 \geq 8 + \frac{144}{2} \]

Step 2: Simplify the expression

Calculate $ \frac{144}{2} $.

\[ \frac{144}{2} = 72 \]

Substitute back into the inequality:

\[ 44 \geq 8 + 72 \]

Step 3: Simplify further

Add $ 8 + 72 $.

\[ 8 + 72 = 80 \]

Substitute back into the inequality:

\[ 44 \geq 80 \]

Step 4: Evaluate the inequality

Check if $ 44 \geq 80 $.

Since $ 44 $ is not greater than or equal to $ 80 $, the inequality does not hold.

Final Answer

The answer is $\boxed{\text{no}}$.

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