Question

solve the inequality and graph the solution. 2(q - 3) - 1 > 5 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: Expand the left - hand side

$2(q - 3)-1=2q-6 - 1=2q-7$. So the inequality becomes $2q-7>5$.

Step2: Add 7 to both sides

$2q-7 + 7>5 + 7$, which simplifies to $2q>12$.

Step3: Divide both sides by 2

$\frac{2q}{2}>\frac{12}{2}$, so $q > 6$.

Answer:

The solution of the inequality is $q>6$. On the number - line, we plot an open circle at $q = 6$ and draw a ray to the right.