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.
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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