3-3 INEQUALITIES. GRAPH EACH INEQUALITY REMEMBER: ----- FOR _______ FOR ≥≤ Y > 3X + 1Y ≤ ½ X + 2.

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Presentation transcript:

3-3 INEQUALITIES

GRAPH EACH INEQUALITY REMEMBER: FOR _______ FOR ≥≤ Y > 3X + 1Y ≤ ½ X + 2

4) Determine whether (-2,5) (3,-1) (-4,2) and (-1,-1) are solutions for the inequality y ≥ 2x 3 +7

Graph y ≤ (x - 2) (use a test point to determine shading)

GRAPH Y < -2 - |X - 1|.

CALCULATOR CHEAT: 1)Type in equation into y= 2)Use arrows to scroll left and change to: less than greater than 3 ) Remember, your calculator will not do dashed lines Examples: Graph y >3x 2 y≤ lx + 2l

SOLVING ABSOLUTE INEQUALITIES Solve |x + 3| - 4 < 2. There are two cases that must be solved. In one case, x + 3 is negative, and in the other, x + 3 is positive. Case 1 when (x + 3)< 0 |x + 3| - 4< 2 -(x + 3) - 4< 2|x + 3| = -(x + 3) -x < 2 -x< 9 x> -9 Case 2 when (x + 3)> 0 |x + 3| - 4< 2 x < 2|x + 3| = (x + 3) x - 1< 2 x< 3 The solution set is {x | -9 < x < 3}. {x | -9 < x < 3} is read as “the set of all numbers x such that x is between - 9 and 3.

SOLVE |X -2| - 5 < 4.