Solve the inequality and graph the solution.
–
5>3–s
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 -5 > 3 - s, we can start by isolating the variable s.
Subtracting 3 from both sides of the inequality:
-5 - 3 > 3 - s - 3
-8 > -s
To solve for s, we need to flip the inequality sign and multiply both sides of the inequality by -1:
8 < s
The solution to the inequality is s > 8.
To graph the solution, we can represent the numbers on a number line. We draw an open circle at 8 (since s is greater than 8), and use an arrow to the right to represent all the numbers greater than 8.
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Number line:
-----o---->