Question

solve the inequality $55 + 10c \geq 300$.

Explanation:

Step1: Subtract 55 from both sides

To isolate the term with \( c \), we subtract 55 from both sides of the inequality \( 55 + 10c \geq 300 \). This gives us \( 10c \geq 300 - 55 \). Calculating the right side, \( 300 - 55 = 245 \), so the inequality becomes \( 10c \geq 245 \).

Step2: Divide both sides by 10

To solve for \( c \), we divide both sides of the inequality \( 10c \geq 245 \) by 10. This gives us \( c \geq \frac{245}{10} \). Simplifying \( \frac{245}{10} \), we get \( c \geq 24.5 \).

Answer:

\( c \geq 24.5 \)