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Question
solve the inequality and graph the solution. -95 ≤ 99 + 97y. 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.
Step1: Isolate the variable y
Subtract 99 from both sides of the inequality - 95≤99 + 97y. We get -95 - 99≤97y, which simplifies to -194≤97y.
Step2: Solve for y
Divide both sides of -194≤97y by 97. So y≥ - 2.
To graph the solution:
- Plot a closed - circle at y = - 2 (because the inequality is y≥ - 2, which includes - 2).
- Draw a ray to the right of y = - 2 to represent all the values of y that are greater than or equal to - 2.
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y≥ - 2. The graph has a closed - circle at y=-2 and a ray extending to the right.