Module · Algebra
Chapter 14: Inequalities
Algebra
4 topics
What this chapter covers
The 4 topics below make up Inequalities on the GRE. Click any topic to open its notes, examples and practice test.
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Solving rules
| Add / subtract | a < b ⇒ a ± c < b ± c (sign stays) |
|---|---|
| Multiply / divide by positive | a < b, c > 0 ⇒ ac < bc (sign stays) |
| Multiply / divide by negative | a < b, c < 0 ⇒ ac > bc (sign FLIPS) |
Compound & absolute value
| Compound (AND) | a < x < b means a < x and x < b |
|---|---|
| |x| < k (k > 0) | −k < x < k |
| |x| > k (k > 0) | x < −k OR x > k |
| |x − a| < k | a − k < x < a + k |
GRE reference
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