Inequalities — Important Questions
ICSE · Class 11 · Mathematics
58 important questions from Inequalities for ICSE Class 11 Mathematics, with answers. Includes multiple choice and true false questions.
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Important Questions from Inequalities
True or False: Adding 5 to both sides of x < 3 gives x < 8.
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True
Addition of a constant to both sides of an inequality preserves the direction. x<3 → x+5<3+5 → x+5<8.
Solving x−5>0 gives:
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x>5
x−5>0 → x−5+5>0+5 → x>5. Adding 5 to both sides (sign preserved).
Solving 4x ≥ 8 gives:
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x ≥ 2
4x≥8 → x≥8/4 → x≥2. Dividing by 4 (positive, sign preserved).
True or False: Multiplying both sides of x > 2 by −1 gives −x > −2.
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False
False. Multiplying by −1 (negative) REVERSES the sign. x>2 → −x<−2 (sign reverses to <).
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