Which of the following is a solution to the inequality below?

4 > 10− s

We are given the inequality:

\[
4 > 10 - s
\]

To solve for \( s \), follow these steps:

### Step 1: Isolate \( s \)
Subtract 10 from both sides:

\[
4 - 10 > -s
\]

\[
-6 > -s
\]

### Step 2: Solve for \( s \)
Now, multiply both sides by \(-1\). Remember, when multiplying or dividing by a negative number in an inequality, you must reverse the inequality sign:

\[
6 < s
\]

or equivalently:

\[
s > 6
\]

### Conclusion
The solution to the inequality is \( s > 6 \).

If you are given multiple choices, the correct answer would be any value greater than 6, such as \( s = 7 \), \( s = 8 \), etc.

Would you like further details or have any other questions?

### Related questions:
1. How would the solution change if the inequality were \( 4 \geq 10 - s \)?
2. What is the solution if the inequality was reversed to \( 4 < 10 - s \)?
3. How do you solve inequalities involving fractions?
4. What happens when solving inequalities with absolute values?
5. Can you explain how graphing the solution \( s > 6 \) would look on a number line?

### Tip:
Always remember to reverse the inequality sign when multiplying or dividing by a negative number.

Which of the following is a solution to the inequality below?

4 > 10 - s

Explore how to solve the inequality 4 > 10 - s with a step-by-step guide. This solution involves isolating the variable s and applying the rule for reversing the inequality sign when multiplying or dividing by a negative. Suitable for students in Grades 6-8.

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