1.6 Do Now: Graph the following inequalities

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1.6 Do Now Graph the following inequalities

• 1.) 2.)
• 3.) 4.)

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Algebra II

• 1.6 Solve Linear Inequalities
• HW p.45 (38-50 even)
• Test Next week Tuesday

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Rule for Solving and Graphing Inequalities

• Solving Solve as you normally would an equation.
• When you multiply or divide both sides by a
  negative, flip the inequality.
• Graphing (x on the left)
• gt Open circle, shade right
• lt Open circle, shade left
• Closed circle, shade right
• Closed circle, shade left

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Solve and Graph

• 1.) 4x 14 gt 3x 6 2.) 15 3x gt 3

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Solve and Graph

• 3.) 2(2x 4) gt 4x 6 4.)

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Solve and Graph

• 5.) 2(x 4) gt 4x 6 6.) 3x - 7 lt 3(x 2)

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Compound Inequalities

• Solve as you normally would a single inequality
• Graphing
• AND Shade where the two graphs overlap
• OR Shade all.

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Solve and Graph

• 7.) -3 lt 4 x 3 8.) -4 2 4x lt 0

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Solve and Graph

• 9.) 2x 3 -4 or 3x 1 4
• 10.) x 4 1 or 2 5x -8

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Solve and Graph

• 11.) -8 3x 1 lt 10

12.) 2x 14 gt 0 or ½ x 5 -7