Question

solve the inequality and graph the solution.
6w + 3 > -9
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Subtract 3 from both sides

To isolate the term with \( w \), we subtract 3 from both sides of the inequality \( 6w + 3 > -9 \). This gives us \( 6w + 3 - 3 > -9 - 3 \), which simplifies to \( 6w > -12 \).

Step2: Divide both sides by 6

To solve for \( w \), we divide both sides of the inequality \( 6w > -12 \) by 6. This gives us \( \frac{6w}{6} > \frac{-12}{6} \), which simplifies to \( w > -2 \).

Answer:

The solution to the inequality \( 6w + 3 > -9 \) is \( w > -2 \). To graph this, we place an open circle at \( -2 \) (since the inequality is strict, \( w \) is not equal to \( -2 \)) and draw a ray to the right of \( -2 \) on the number line.