Daily Check Solve and Graph on a Number Line |8x + 5| < 45 and |-2x + 4| > 24

Math II Day 46 (10-15-10) Standard MM2A1.a Write absolute value functions as piecewise functions. Today’s Question: How do we graph BIG absolute value equations on a number line?

Ex: Solve & graph. |2x + 6| ≥ 24 and 2x + 6 ≥ -24 2x + 6 ≤ 24 Flip the sign and make it negative |2x + 6| ≥ 24 Splits to become two small problems and 2x + 6 ≥ -24 2x + 6 ≤ 24 and 2x ≥ -30 2x ≤ 18 and x ≥ -15 x ≤ 9 -15 8 9

Multiply or divide by a negative The sign and the inequality flip |-2x – 6| ≤ 14 -2x – 6 ≤ 14 and -2x – 6 ≥ -14 -2x ≤ 20 and -2x ≥ -8 x ≥ -10 and x ≤ 4

NOW FOR TODAY’S NEW STUFF

Solve & graph. Get absolute value by itself first. Split into two small problems and solve -2 3 4

Solve & graph. 2|3x-1| + 6 > 22

Your Turn: Solve & graph. 2|-2x+4| + 8 > 14

Your Turn: Solve & graph. -5|6 – 2x| -4 ≤ 26

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