ONE STEP Inequalities m + 18 > 3 - 8x < 72

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Presentation transcript:

ONE STEP Inequalities m + 18 > 3 - 8x < 72 Students will use inverse operations to solve and graph one-step inequalities. — < 7 x -3 3x > 21 x + 4 > 12 m – 18 > - 3 — < -5 x 3 -3p > - 27

Solving & Graphing Inequalities Solve inequalities using inverse operations JUST LIKE EQUATIONS… If you reverse the order in which the inequality is written, reverse the “is greater than” or “is less than” symbol. SPECIAL CASE: When multiplying or dividing by a negative number, reverse the “is greater than” or “is less than” symbol.

1-Step Inequality with addition Ex. 1 Solve & Graph x + 4 < 12 – 4 – 4 Subtract 4 from both sides. x < 8 The < symbol stays the same. 5 6 7 8 9 10 11

1-Step Inequality with Mult. Ex. 2 Solve & Graph 6a > -12 6 6 a > -2 -2 -1 0 1 2 3 4

1-Step Inequality with Mult. *** SPECIAL CASE *** Ex. 3 Solve & Graph -3x > -21 -3 -3 IMPORTANT: Because we divided by a negative number, we must reverse the symbol. x < 7 2 3 4 5 6 7 8

1-Step Inequality with div. *** Special case *** Ex. 4: Solve & Graph < -8 (-2) (-2) Because we multiplied both sides times a negative number, reverse the symbol. b > 16 14 16 18 20

SUMMARY: Solving & Graphing Inequalities Solve inequalities using inverse operations JUST LIKE EQUATIONS… If you reverse the order the equation is written, reverse the symbol. SPECIAL CASE: When multiplying or dividing by a negative number, reverse the “greater than” or “less than” symbol.