QuestionSolve the inequality and graph the solution, adjusting endpoints as needed.
Studdy Solution
STEP 1
Assumptions1. The inequality given is
. We need to solve for
3. The inequality sign means that the solution includes the value where the two sides are equal
STEP 2
First, we need to distribute the to both terms inside the parentheses.
STEP 3
Now, replace the left side of the inequality with the expanded form.
STEP 4
Next, we need to isolate by getting rid of the on the left side. We can do this by adding to both sides of the inequality.
STEP 5
implify both sides of the inequality.
STEP 6
Finally, to solve for , we need to divide both sides of the inequality by . Remember that when we divide or multiply an inequality by a negative number, we need to reverse the inequality sign.
STEP 7
implify both sides of the inequality.
This is the solution to the inequality.
STEP 8
To graph this solution, we need to plot a number line.1. Draw a number line and mark on it.
2. Since is greater than or equal to , we draw a closed circle at to include this value in the solution.
3. Then, draw a line to the right of to represent all the numbers greater than .
The graph represents all the values of that satisfy the inequality .
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