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Thursday 29th of October
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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

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 Solve for:

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Solving Inequalities

Solving Multi-Step Inequalities

Inequalities involving more than one operation can be solved by undoing theoperations in reverse order in the same way you would solve an equation withmore than one operation. The important exception is that multiplying ordividing an inequality by a negative number reverses the sign of the inequality.

Example

Solve -3 f - 7 - f + 9.

Solution

 -3 f - 7 - f + 9 -3 f - 7 + f - f + 9 + f Add f to each side. -2f - 7 9 Combine like terms. -2f - 7 + 7 9 + 7 Add 7 to each side. -2f 16 Combine like terms. Divide each side by -2 and change to . f -8 The solution set is {f | f -8}

Solving Compound Inequalities

Two inequalities considered together form a compound inequality.

 AND Compound Inequalities Compound inequalities that contain theword and are true only if both inequalities are true. The graph of a compound inequality containing and is the intersection of the graphs of the two inequalities that makeup the compound inequality. To find the intersection, determine where the two graphs overlap. ORCompound Inequalities Compound inequalities that contain the word or are true if one or more of the inequalities is true. The graph is the union of the graphs of the two inequalities that make up the compound inequality.