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Inequalities and Absolute Values | Quantitative for GMAT PDF Download

Inequalities Values

  • If a < b, then we can add or subtract same number to both sides. Sign remains same.

Inequalities and Absolute Values | Quantitative for GMAT

  • If a < b and c > 0, then we can multiply or divide by same number on both sides. Sign remains same.

Inequalities and Absolute Values | Quantitative for GMAT

  • If a < b and c < 0, then we can multiply or divide by same number on both sides BUT the sign reverses.

Inequalities and Absolute Values | Quantitative for GMAT

Absolute Values

The absolute value or modulus of a real number x is defined as the nonnegative value of x. It is denoted by |x|.
If x is a non-negative number, then

Inequalities and Absolute Values | Quantitative for GMAT

If x and a are positive numbers, then
Inequalities and Absolute Values | Quantitative for GMAT

Also, for all real numbers x and y

Inequalities and Absolute Values | Quantitative for GMAT

The document Inequalities and Absolute Values | Quantitative for GMAT is a part of the GMAT Course Quantitative for GMAT.
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