Question

solve the inequality and graph the solution.
-(j - 9) < 3
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: Remove the parentheses

Multiply out the left - hand side: $-(j - 9)=-j + 9$. So the inequality becomes $-j+9\lt3$.

Step2: Isolate the variable term

Subtract 9 from both sides: $-j+9 - 9\lt3 - 9$, which simplifies to $-j\lt - 6$.

Step3: Solve for \(j\)

Multiply both sides by - 1 and reverse the inequality sign (since we are multiplying by a negative number). We get $j\gt6$.

Answer:

The solution of the inequality is \(j\gt6\). On the number - line, we have an open circle at \(j = 6\) and a ray extending to the right.