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solve the inequality and graph the solution. \\( \\frac { d + 2 } { 2 }…

Question

solve the inequality and graph the solution.
\\( \frac { d + 2 } { 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.
submit

Explanation:

Step1: Multiply both sides by 2

$$\frac{d + 2}{2}\times2<-1\times2$$
$$d + 2<-2$$

Step2: Subtract 2 from both sides

$$d+2 - 2<-2 - 2$$
$$d<-4$$

Answer:

The solution of the inequality is \(d < - 4\). On the number - line, we plot an open circle at \(-4\) (because the inequality is strict, \(d
eq - 4\)) and draw a ray to the left of \(-4\) to represent all values of \(d\) that satisfy the inequality.