Question

4.3 - 1.5c ≤ 10

Explanation:

Step1: Subtract 4.3 from both sides

To isolate the term with \( c \), we subtract 4.3 from both sides of the inequality \( 4.3 - 1.5c \leq 10 \). This gives us \( 4.3 - 4.3 - 1.5c \leq 10 - 4.3 \), which simplifies to \( -1.5c \leq 5.7 \).

Step2: Divide both sides by -1.5 (and reverse the inequality)

When we divide an inequality by a negative number, we must reverse the direction of the inequality sign. So, dividing both sides of \( -1.5c \leq 5.7 \) by -1.5, we get \( c \geq \frac{5.7}{-1.5} \). Calculating \( \frac{5.7}{-1.5} \) gives us -3.8. So the solution is \( c \geq -3.8 \).

Answer:

\( c \geq -3.8 \)