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Question
solve the inequality and graph the solution. 7s - 11 < 17 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
Step1: Add 11 to both sides
$7s-11 + 11<17 + 11$
$7s<28$
Step2: Divide both sides by 7
$\frac{7s}{7}<\frac{28}{7}$
$s < 4$
To graph: The endpoint is 4. Since the inequality is $s < 4$, the endpoint 4 is an open - point (not included in the solution set), and the solution set is all real numbers less than 4, so we draw a ray to the left of 4 on the number line.
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The solution of the inequality is $s < 4$. On the number - line, an open circle at 4 and a ray pointing to the left.