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3.4 Solving Inequalities with Addition and Subtraction

3.4 Solving Inequalities with Addition and Subtraction. Inequality. Two expressions with an inequality symbol between them. THEY ARE NOT EQUAL!. x < 2 x ≤ 3 x > -4 x ≥ -1. x is less than 2 x is less than or equal to 3 x is greater than -4 x is greater than or equal to -1.

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3.4 Solving Inequalities with Addition and Subtraction

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  1. 3.4 Solving Inequalities with Addition and Subtraction

  2. Inequality Two expressions with an inequality symbol between them. THEY ARE NOT EQUAL!

  3. x < 2 x ≤ 3 x > -4 x ≥ -1 x is less than 2 x is less than or equal to 3 x is greater than -4 x is greater than or equal to -1 Inequality Symbols

  4. Write an inequality that represents the verbal sentence. Three plus a number is less than or equal to five. 3 + x ≤ 5 Negative four minus a number is greater than negative ten. -4 - x > -10

  5. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Graphing an Inequality x < 5

  6. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Graphing an Inequality x ≥ 4

  7. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Graphing an Inequality x ≤ -3

  8. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Solving an Inequality x + 3 > 5 -3 -3 x > 2

  9. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Solving an Inequality 10 ≤ x + 13 -13 -13 -3 ≤ x

  10. Rules for Graphing an Inequality • Solve if necessary • Place circle on the number • Shade circle if can be equal to • Point arrow in the direction of possible x values

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