Question

solve the inequality and graph the solution.
-8g - 9 > 7
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.
← -5 -4 -3 -2 -1 0 1 2 3 4 5 →
submit

Explanation:

Step1: Add 9 to both sides

To isolate the term with \( g \), we add 9 to both sides of the inequality \(-8g - 9>7\). This gives us \(-8g - 9 + 9>7 + 9\), which simplifies to \(-8g>16\).

Step2: Divide by -8 (reverse inequality)

When dividing both sides of an inequality by a negative number, we reverse the inequality sign. So, dividing both sides of \(-8g>16\) by \(-8\) gives \(g < - 2\).

To graph the solution: The solution is all real numbers less than -2. On the number line, we use an open circle at -2 (since \(g=-2\) is not included in the solution) and draw an arrow to the left to represent all numbers less than -2.

Answer:

The solution to the inequality is \(g < - 2\). The graph has an open circle at \(-2\) and an arrow pointing to the left.