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Warm up

Warm up. Write the meaning of each symbol = ≠ < > ≤ ≥. Warm up. Decide whether each pair of expressions is equal or not equal. Complete the statement using =, ≠, <, > 21 + 3  4 ____ 12  2 4 + 5 - 8 • 2 ____ -21  3 7 + 2 ____ 4 • 2 10  5 ____ 2 + 3 .

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Warm up

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  1. Warm up • Write the meaning of each symbol • = • ≠ • < • > • ≤ • ≥

  2. Warm up • Decide whether each pair of expressions is equal or not equal. Complete the statement using =, ≠, <, > • 21 + 3  4 ____ 12  2 • 4 + 5 - 8 • 2 ____ -21  3 • 7 + 2 ____ 4 • 2 • 10  5 ____ 2 + 3

  3. 4.1 Up, Up, and Away Solving and Graphing Inequalities in One Variable

  4. Standard 6.0 • Students graph a linear equation and compute the x- and y- intercepts. They are also able to sketch the region defined by linear inequality. • Los estudiantes representan una equación lineal gráficamente y computan los puntos de intersección del eje de las X y del eje de las Y. Ellos también pueden bosquejar la región definida por la desigualdad lineal

  5. Objectives • Write simple and compound inequalities. • Graph inequalities. • Solve inequalities.

  6. Key terms • Inequality • Inequality symbol • Compound inequality • Graph an Inequality • Solve an inequality • P. 154 #2 • P. 154 #2 • P. 155 #3 • P. 155 #3 • P. 157 #1

  7. Writing Inequalities • Inequality is a statement that is formed by placing an inequality symbol (<, >, ≤, and ≥)between two expressions • 9 > 8 • 2 < 5

  8. Writing Compound Inequalities • A compound inequality is formed when two inequalities are connected by the word “and” or the word “or” • 1 < x ≤ 5 • X is greater than 1 and less than or equal to 5 • x ≤ -3 or x > 6 • X is less than or equal to -3 or x is greater than 6

  9. Solving Inequalities • To solve an inequality means to find the values of the variable that make the inequality true. • 2x - 1 ≤ 5 Add 1 from both sides • 2x - 1 + 1 ≤ 5 + 1 Simplify • 2x ≤ 6 Divide by 2 both sides • X ≤ 3

  10. Graphing Inequalities • Use a number line to represent your inequalities • Tips to graph inequalities <, > Open dot ≤, ≥ Close dot Or has opposite arrow head sides And is connected (the arrow heads meet)

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