Equations and Inequalities Unit 8 Solving Inequalities Vocabulary

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Equations and Inequalities

Equations and Inequalities

Unit 8 – Solving Inequalities

Unit 8 – Solving Inequalities

Vocabulary Inequality – A mathematical sentence that compares two unequal expressions using one of

Vocabulary Inequality – A mathematical sentence that compares two unequal expressions using one of the symbols: • < (less than) • > (greater than) • ≤ (less than or equal to) • ≥ (greater than or equal to) • ≠ (not equal to) Closed Circle - Includes a quantity on a number line. Used with ≤ or ≥. Open Circle - Does not include a quantity on a number line. Used with < or >.

Solving Simple Inequalities - Example Complete with =, < or >. > > <

Solving Simple Inequalities - Example Complete with =, < or >. > > < =

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. y >7 When y = _____, y > 7 is true. The inequality y > 7 is true for any value of y that is greater than 7.

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. m < 28 When m = _____, m < 28 is true. The inequality m < 28 is true for any value of m that is less than 28.

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. e ≥ 15 When e = _____, e ≥ 15 is true. The inequality e ≥ 15 is true for any value of e that is greater than or equal to 15.

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the

Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. z ≤ 21 When z = _____, z ≤ ≤ 21 is true. The inequality z ≤ 21 is true for any value of z that is less than or equal to 21.

Determining Solutions for Inequalities Practice Determine 4 solutions for each inequality. Then represent the

Determining Solutions for Inequalities Practice Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. 1. p < 45 p could equal any number less than 45 2. a > -57 a could equal any number greater than -57 3. n ≤ 17 n could equal any number less than or equal to 17 4. w ≥ -63 w could equal any number greater than or equal to -63

Writing Inequalities from Number Lines Example Write an inequality for each number line using

Writing Inequalities from Number Lines Example Write an inequality for each number line using the variable a. a > 14

Writing Inequalities from Number Lines Example Write an inequality for each number line using

Writing Inequalities from Number Lines Example Write an inequality for each number line using the variable a. a ≤ 15

Writing Inequalities from Number Lines Practice Write an inequality for each number line using

Writing Inequalities from Number Lines Practice Write an inequality for each number line using the variable a. a ≥ 11 a < 14