Question

solve the inequality and graph the solution. (2q + 20 > 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. save answer

Explanation:

Step1: Subtract 20 from both sides

To isolate the term with \( q \), we subtract 20 from both sides of the inequality \( 2q + 20>4 \). This gives us \( 2q+20 - 20>4 - 20 \), which simplifies to \( 2q>- 16 \).

Step2: Divide both sides by 2

To solve for \( q \), we divide both sides of the inequality \( 2q>-16 \) by 2. So, \( \frac{2q}{2}>\frac{-16}{2} \), which simplifies to \( q > - 8 \).

Answer:

The solution to the inequality \( 2q + 20>4 \) is \( q > - 8 \). To graph this, we draw an open circle at \( - 8 \) (since the inequality is strict, \( q
eq - 8 \)) and draw a ray to the right of \( - 8 \) on the number line.