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Writing and Graphing Inequalities

Writing and Graphing Inequalities. Lesson 9.4. Vocabulary and Key Words. Inequality - a mathematical sentence that compares expressions. It contains the symbols <, >, ≤, or ≥. A solution of an inequality is a value that makes the inequality true

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Writing and Graphing Inequalities

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  1. Writing and Graphing Inequalities Lesson 9.4

  2. Vocabulary and Key Words • Inequality -a mathematical sentence that compares expressions. It contains the symbols <, >, ≤, or ≥. • A solution of an inequality is a value that makes the inequality true • solution set- the set of all solutions of an inequality • The graph of an inequalityshows all of the solutions of the inequality on a number line

  3. Key Symbols • Note: To write an inequality, look for the above phrases to determine where to place the inequality symbol.

  4. Example 1 Writing Inequalities • Write the word sentence as an inequality. • A number c is less than 4. • A number k plus 5 is greater than or equal to 8. • Four times a number q is at most 16. • A number t is no more than 7. • The difference of a number p and 3 is at least 10. • One-fourth of a number x is greater than 2.

  5. Your Turn • Write the word sentence as an inequality. • A number n is greater than 1. • Twice a number p is fewer than 7. • A number w minus 3 is less than or equal to 10. • A number z divided by 2 is at least 6.

  6. Example 2 Checking Solutions

  7. Example 2 Checking Solutions

  8. Your Turn • Tell whether 3 is a solution of the inequality. • B + 4 < 6 • 9 – n ≥ 6 • 18 ÷ x ≤ 10

  9. Example 3 Graphing Inequalities • An open circle ○ is used when a number is not a solution. When the “or equal to/underline” is not there. • A closed circle ● is used when a number is a solution. When the “or equal to/underline” is there. • An arrow to the left or right shows that the graph continues in that direction. • Hint: If the variable comes first in the inequality, then the arrow points in the direction of the inequality.

  10. Example 3 Graphing Inequalities • Graph the inequality • Graph g > 2. • Graph ½ ≥ h.

  11. Your Turn • Graph the inequality. • 4 > a • F ≤ 2.5 • 0 < n • P ≥ -3

  12. Example 4 • A classroom has enough room for up to 25 students. Write and graph an inequality that represents the number s of students in the classroom.

  13. Your Turn • Write and graph an inequality for the situation. • A cruise ship can carry at most 3500 passengers. • A board game is designed for ages 12 and up.

  14. Assignment • Page 413 #17-38 all in Green Textbook

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