Question

solve the inequality and graph the solution. 7 - c ≤ 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: Isolate the variable c

Subtract 7 from both sides of the inequality $7 - c\leq1$. We get $-c\leq1 - 7$, which simplifies to $-c\leq - 6$.

Step2: Solve for c

Multiply both sides of the inequality $-c\leq - 6$ by - 1. When we multiply or divide an inequality by a negative number, the direction of the inequality sign changes. So we have $c\geq6$.

Answer:

The solution of the inequality is $c\geq6$. On the number - line, we plot a closed circle at 6 (since the inequality is $\geq$) and draw a ray to the right of 6.