Question

Solve the inequality. $$10-c \geq 6$$

Short answer

The solution to the inequality is \(c \leq 4\).

Step-by-step solution

Rewrite the inequality

The inequality is written as \(10 - c \geq 6\). This can be rewritten for our convenience as \( -c \geq 6 - 10\).

Simplify the right side

Now we simplify the right side of the inequality by subtracting: \( -c \geq -4\).

Multiply the entire inequality by -1

When you multiply or divide an inequality by a negative number, the inequality sign flips. Therefore, we multiply the whole inequality by -1 to isolate \(c\) on one side. This gives us \(c \leq 4\).