Linear Inequalities in One Variable Objective: To solve linear inequalities.

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Presentation transcript:

Linear Inequalities in One Variable Objective: To solve linear inequalities

Interval notation We can express our answers in two ways. We can use the inequality signs ( ) or we can use interval notation.

Solving Linear Inequalities Solve:

Solving Linear Inequalities Solve: Add 7 Subt 3x Divide by 2 or

Solving Linear Inequalities You try:

Solving Linear Inequalities You try:

Solving Linear Inequalities Solve:

Solving Linear Inequalities Solve: Mult by 2 Subt 2 Subt 2x Divide by -5 When you multiply or divide by a negative number you must change the inequality sign.

Solving Linear Inequalities You try:

Solving Linear Inequalities You try:

Solving a Double Inequality Solve:

Solving a Double Inequality Solve: We need x by itself. Whatever we do to one term, we do to all three.

Solving a Double Inequality Solve: We need x by itself. Whatever we do to one term, we do to all three. Add 1 Divide by 6 or

Solving a Double Inequality You try:

Solving a Double Inequality You try:

Solving an Absolute Value Inequality Solve:

Solving an Absolute Value Inequality Solve: We want to be closer than 2 units from zero. We need to look at 2 and | | |

Solving an Absolute Value Inequality Solve: We want to be closer than 2 units from zero. We need to look at 2 and | | |

Solving an Absolute Value Inequality Solve: and

Solving an Absolute Value Inequality Solve:

Solving an Absolute Value Inequality Solve: We now want values 7 units or more away from zero.

Solving an Absolute Value Inequality Solve: We now want values 7 units or more away from zero | | |

Solving an Absolute Value Inequality Solve: or

Solving an Absolute Value Inequality You Try:

Solving an Absolute Value Inequality You Try: and or

Homework Pages odd 37, odd