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1) solve for g. 40 ≤ g - 8 2) write the solution as an inequality (for …

Question

  1. solve for g.

40 ≤ g - 8

  1. write the solution as an inequality (for example, g > 9).

box
buttons: ≤, ≥, 5, 8, =

  1. graph the solution.
  2. 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.

number line: 20, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50
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Explanation:

Step1: Solve the inequality

We have the inequality \(40 \leq g - 8\). To solve for \(g\), we add 8 to both sides of the inequality.

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Which can be rewritten as \(g\geq48\).

Step2: Graph the solution

For the inequality \(g\geq48\), the endpoint is at 48. Since the inequality is "greater than or equal to", the endpoint is a closed circle (filled in). Then we draw a ray starting at 48 and pointing to the right (towards larger numbers) to represent all values of \(g\) that are greater than or equal to 48.

Answer:

The inequality is \(g\geq48\). For the graph, plot a closed circle at 48 and draw a ray to the right.