Inequalities 6th Grade 6.EE.8.

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Inequalities 6th Grade 6.EE.8

Is this a solution? … M+12=20 2. N+7=14 3. 2M+1=15 IS 12 a solution? How do you know? 2. N+7=14 IS 7 a solution? How do you know? 3. 2M+1=15 IS 6 a solution? How do you know?

Are these possible solutions? … Y + 8 ˂ 13 Is 7 a possible solution? 7n ≥ 105 Is 15 a possible solution? x – 9 ≤ 23 Is 30 a possible solution?

What is an Inequality? Is a range of values, rather than ONE set number An algebraic relation showing that a quantity is greater than or less than another quantity. Example: Speed limit The minimum speed limit is 40, and the max is 65.

≥ : greater than or equal to An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to

Write an inequality: Noah has fewer than 8 tennis balls. Hannah read at least 45 pages of the book.

Write an inequality: 3. Chandler rode no more than 38 miles. 4. Isabelle spent more than $85.

Graphing Inequalities: When we graph an inequality on a number line we use open and closed circles to represent the number. < < Plot an open circle ≤ ≥ Plot a closed circle

Graph the following Inequalities: x ≥ 8 y ˂ 4 1 ≤ P x ˃ 12

Can you solve the following inequality?

Graph the following inequalities