QuestionGraph the solution for the inequality .
Studdy Solution
STEP 1
Assumptions1. The inequality to solve is .
. The solution to the inequality is a set of real numbers that satisfy the inequality.
3. The graph of the solution will be on a number line.
STEP 2
First, we need to solve the inequality for . We can do this by dividing both sides of the inequality by .Note When we divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes.
STEP 3
Now, we have the solution to the inequality, . This means that any real number greater than or equal to is a solution to the inequality.
STEP 4
To graph the solution, we first draw a number line.
STEP 5
Mark the point on the number line. This point is included in the solution set, so we represent it with a filled dot or a closed circle.
STEP 6
Since is greater than or equal to , all points to the right of (including ) are part of the solution set. We represent this by drawing a line to the right of .
The graph of the solution to the inequality is a number line with a closed circle at and a line extending to the right of .
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