Question

solve the inequality and graph the solution.
-10 + 5d < 10
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Add 10 to both sides

To isolate the term with \( d \), we add 10 to both sides of the inequality \(-10 + 5d < 10\). This gives us \(-10 + 10 + 5d < 10 + 10\), which simplifies to \(5d < 20\).

Step2: Divide both sides by 5

To solve for \( d \), we divide both sides of the inequality \(5d < 20\) by 5. So, \(\frac{5d}{5} < \frac{20}{5}\), which simplifies to \(d < 4\).

Answer:

The solution to the inequality is \( d < 4 \). To graph this, we plot an open circle at \( 4 \) (since the inequality is strict, \( d
eq 4 \)) and draw an arrow to the left to represent all values less than \( 4 \).