Solve the inequality and graph the solution.
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7≤1–b
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 will first isolate the variable b. We can do this by subtracting 1 from both sides of the inequality:
-7 ≤ 1 - b - 1
Simplifying the right side:
-7 ≤ -b
Next, we want to get rid of the negative sign on the right side. We can do this by multiplying both sides of the inequality by -1. However, when we multiply or divide both sides of an inequality by a negative number, we need to reverse the inequality sign. So we have:
7 ≥ b
Now, we can graph the solution. We have b greater than or equal to 7. This means that any value of b that is equal to or greater than 7 will make the inequality true. To graph this on a number line, we plot a closed circle at the value 7 and draw a ray to the right indicating that b can be any value greater than or equal to 7.
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7