Question

solve the inequality and graph the solution.\\(\frac{d}{4} + 3 > 4\\)\
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.\
(number line with ticks at -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)

Explanation:

Step1: Subtract 3 from both sides

To isolate the term with \( d \), we subtract 3 from both sides of the inequality \(\frac{d}{4}+3 > 4\). This gives us \(\frac{d}{4}+3 - 3>4 - 3\), which simplifies to \(\frac{d}{4}>1\).

Step2: Multiply both sides by 4

To solve for \( d \), we multiply both sides of the inequality \(\frac{d}{4}>1\) by 4. This gives us \(\frac{d}{4}\times4>1\times4\), which simplifies to \(d > 4\).

Answer:

The solution to the inequality is \(d > 4\). To graph this, we place an open circle at \( d = 4 \) (since the inequality is strict, \( d
eq4 \)) and draw a ray to the right of 4 on the number line.