Question

solve the inequality and graph the solution.
20 > 5d
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
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Explanation:

Step1: Isolate the variable \( d \)

To solve the inequality \( 20 > 5d \), we divide both sides by 5. Since 5 is a positive number, the direction of the inequality sign remains the same.

$$ \frac{20}{5} > \frac{5d}{5} $$

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{20}{5}=4 \), and simplifying the right - hand side, \( \frac{5d}{5} = d \). So we get \( 4>d \), or equivalently \( d < 4 \).

For graphing the solution on the number line:

• The endpoint is at 4. Since the inequality is \( d < 4 \) (not \( d\leqslant4 \)), the endpoint at 4 is an open circle (to indicate that 4 is not included in the solution set).
• The arrow points to the left (towards the numbers less than 4) because we are looking for all values of \( d \) that are less than 4.

Answer:

The solution to the inequality is \( d < 4 \). The graph has an open circle at 4 and an arrow pointing to the left.