Inequalities — Formula Sheet
ICSE · Class 11 · Mathematics
11 formulas from Inequalities (ICSE Class 11 Mathematics) on one page, grouped by topic. Part of the ICSE Class 11 Mathematics syllabus.
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Formulas and Key Relations
Rules for Solving Inequalities
Add the same number to both sides
Subtract the same number from both sides
Multiply by a positive number
Multiply by a negative number
Divide by a positive number
Compound Inequalities
x > a and x < b => a < x < b
Absolute Value Inequalities
|x| = x if x ≥ 0; |x| = -x if x < 0
|x| < a iff -a < x < a
|x| ≤ a iff -a ≤ x ≤ a
|x| > a iff x < -a or x > a
|x| ≥ a iff x ≤ -a or x ≥ a
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