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QUESTION IMAGE

solve the inequality and graph the solution. \\(\\frac{q + 6}{2}<1\\) p…

Question

solve the inequality and graph the solution.
\\(\frac{q + 6}{2}<1\\)
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.

Explanation:

Step1: Multiply both sides by 2

$q + 6<2$

Step2: Subtract 6 from both sides

$q<2 - 6$
$q<-4$

Answer:

The solution of the inequality is $q < - 4$. On the number - line, we use an open - circle at $-4$ (since the inequality is strict, $q
eq - 4$) and draw an arrow to the left to represent all values of $q$ that are less than $-4$.