Solving Linear Inequalities in One Unknown

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Presentation transcript:

Solving Linear Inequalities in One Unknown

Linear Inequalities in One Unknown If an inequality contains only one unknown and its index is 1, then the inequality is called a linear inequality in one unknown.

Solving Linear Inequalities in One Unknown The techniques involved are similar to those in solving linear equations. Equation Inequality 1 3 2 = - x 1 3 2 > - x 3 1 2 + = - x 3 1 2 + > - x Add 3 to both sides. 4 2 = x 4 2 > x 2 4 = x 2 4 > x Divide both sides by 2. 2 = x 2 > x

: graphically 1 3 2 of solution the represent also can We > - x

Follow-up question Solve the following inequalities and represent the solutions graphically. Subtract 1 from both sides. Divide both sides by 3. 2

Follow-up question (cont’d) Solve the following inequalities and represent the solutions graphically. Subtract 4 from both sides. Divide both sides by –5. 4 -