Guided Example 1 (Basic inequality)
x + 5 < 12
Step-by-step solution:
- x + 5 < 12 Start
- x < 7 Subtract 5 from both sides.
- Any number less than 7 makes the inequality true. Final meaning
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Free Fall 2026 NC Math 1 Weekly Support
Week 1
Wednesday
Practice solving inequalities, reading what the answer means, and learning from a common process mistake.
Quick Review
Solving inequalities is like solving equations, but there is one major exception: When you multiply or divide by a negative number, you must reverse the inequality symbol.
Guided Examples
x + 5 < 12
-3x ≥ 9
Practice Problems
Enter an answer, check it, and keep editing your work as you learn from feedback.
x + 3 < 7
2x > 10
-4x ≤ 20
4x - 2 ≥ 10
2(x + 5) < 16
Spiral Review: 3x - 1 = 11
Midweek Mistake Check
First, look at the incorrect solution. Then identify what happened.
-2x + 4 > 10
-2x > 6
x > -3
Think about: What did they do right? Where is the mistake? Why is it a mistake? How do you fix it? Type of Mistake
Wednesday Exit Check
How many of the next 3 problems do you think you will solve correctly?
x + 6 < 10
-2x > 8
3x - 3 ≥ 9
Knowing what you understand is part of learning what to try next.
Key question: How do you know when to flip the sign?
When you multiply or divide both sides of an inequality by a negative number.
End of Wednesday