Question

solve for c.
-1c + 18 ≤ 19

Explanation:

Step1: Subtract 18 from both sides

To isolate the term with \( c \), we subtract 18 from both sides of the inequality \(-1c + 18 \leq 19\).

$$ -1c + 18 - 18 \leq 19 - 18 $$

Simplifying both sides, we get:

$$ - c \leq 1 $$

Step2: Multiply both sides by -1 (and reverse inequality)

When we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. So we multiply both sides of \(-c \leq 1\) by -1.

$$ (-1)\times(-c) \geq (-1)\times1 $$

Simplifying both sides, we obtain:

$$ c \geq -1 $$

Answer:

\( c \geq -1 \)