Solve the following linear inequalities using the addition and subtraction properties of equality.
$x-2.3\le 4.1$

• A. $x\ge 6.4$
• B. $x>6.4$
• C. $x\le 6.4$
• D. $x\le 1.8$

Answer: (C)

Verified step by step guidance

1. Start with the given inequality: \(x - 2.3 \le 4.1\).
2. To isolate \(x\), use the addition property of equality by adding \(2.3\) to both sides of the inequality: \(x - 2.3 + 2.3 \le 4.1 + 2.3\).
3. Simplify both sides: the left side becomes \(x\), and the right side becomes \(4.1 + 2.3\).
4. Write the simplified inequality: \(x \le 4.1 + 2.3\).
5. You can now evaluate the right side to find the numerical boundary for \(x\).