Here are the solutions to inequalities 5 and 7:

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Problem 5:

Solve for $x$: $x + 5 > -13$
To isolate $x$, subtract $5$ from both sides:

$x > -13 - 5$
$x > -18$

Solution: $x > -18$

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Problem 7:

Solve for $s$: $s + 3.7 < 1$
To isolate $s$, subtract $3.7$ from both sides:

$s < 1 - 3.7$
$s < -2.7$

Solution: $s < -2.7$

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Final Solutions:

1. For Problem 5: $x > -18$
2. For Problem 7: $s < -2.7$

Would you like me to graph these solutions or provide a step-by-step explanation?

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Related Questions:

1. How do you graph inequalities on a number line?
2. How do inequality solutions change when multiplying or dividing by negative numbers?
3. What are compound inequalities, and how do you solve them?
4. How can you check if a solution to an inequality is correct?
5. How do inequalities apply to real-world problems like budgeting or ranges?

Tip: Remember, when solving inequalities, reversing the inequality sign is necessary when multiplying or dividing both sides by a negative number.