Question

solve the inequality and graph the solution.
\\(\frac{c}{-1}+10\geq6\\)
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: Simplify the left - hand side

$\frac{c}{-1}=-c$, so the inequality becomes $-c + 10\geq6$.

Step2: Subtract 10 from both sides

$-c+10 - 10\geq6 - 10$, which simplifies to $-c\geq - 4$.

Step3: Multiply both sides by - 1 and reverse the inequality sign

When we multiply both sides of $-c\geq - 4$ by - 1, we get $c\leq4$.

Answer:

The solution of the inequality is $c\leq4$. On the number - line, we mark a closed circle at 4 (since the inequality includes equality, $\leq$) and draw a ray to the left of 4.