Question

Solve the inequality and graph the solution.
19>–9w–19
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.

Answer 1

To solve the inequality, we can start by isolating the variable on one side. We can do this by adding 9w to both sides of the equation:

19 + 9w > –9w – 19 + 9w

This simplifies to:

19 + 9w > -19

Next, we can subtract 19 from both sides:

19 - 19 + 9w > -19 - 19

This simplifies to:

9w > -38

Finally, we can divide both sides by 9 to solve for w:

(9w)/9 > (-38)/9

This simplifies to:

w > -38/9

Now, let's graph the solution on a number line. To indicate that the solution is greater than -38/9, we will draw an open circle at -38/9 and draw an arrow to the right.

Number Line:

---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

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