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: Word Problems

Basics of Algebra

Inequalities and Absolute Value

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The solution of an inequality is not a single value rather it is a set of all values satisfying the inequality, for example; x < 3 means all numbers less than three contribute the solution set.

Addition or subtraction of the same number on both sides does not affect the inequality.

If both sides are multiplied or divided by same positive number (except 0) inequality remains the same.

Both sides can be squared.

Square root of both sides can be taken if both sides are positive.

Multiplying or dividing both sides with a negative number reverses the inequality.

Taking reciprocal of both sides reverses the inequality.

The solution of an inequality is not a single value rather it is a set of all values satisfying the inequality, for example; x < 3 means all numbers less than three contribute the solution set.

Addition or subtraction of the same number on both sides does not affect the inequality.

If both sides are multiplied or divided by same positive number (except 0) inequality remains the same.

Both sides can be squared.

Square root of both sides can be taken if both sides are positive.

Multiplying or dividing both sides with a negative number reverses the inequality.

Taking reciprocal of both sides reverses the inequality.

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